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Finding the Third Proportional to 67,918,402.13 and 105,913,230.75

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Solution

The third proportional to 67,918,402.13 and 105,913,230.75 is: 165,163,079.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,918,402.13 : 105,913,230.75 = 105,913,230.75 : x
  2. Step 2: Convert to fraction form
    67,918,402.13/105,913,230.75 = 105,913,230.75/x
  3. Step 3: Cross multiply
    67,918,402.13x = 105,913,230.75 × 105,913,230.75
  4. Step 4: Simplify right side
    67,918,402.13x = 11,217,612,447,902,746
  5. Step 5: Solve for x
    x = 11,217,612,447,902,746/67,918,402.13
  6. Step 6: Final answer
    x = 165,163,079.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.