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Finding the Third Proportional to 78,592,892,959.13 and 170,956,073,407.50

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Solution

The third proportional to 78,592,892,959.13 and 170,956,073,407.50 is: 371,865,418,545.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,592,892,959.13 : 170,956,073,407.50 = 170,956,073,407.50 : x
  2. Step 2: Convert to fraction form
    78,592,892,959.13/170,956,073,407.50 = 170,956,073,407.50/x
  3. Step 3: Cross multiply
    78,592,892,959.13x = 170,956,073,407.50 × 170,956,073,407.50
  4. Step 4: Simplify right side
    78,592,892,959.13x = 29,225,979,034,910,528,110,592
  5. Step 5: Solve for x
    x = 29,225,979,034,910,528,110,592/78,592,892,959.13
  6. Step 6: Final answer
    x = 371,865,418,545.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.