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Finding the Third Proportional to 199,776,345,106.50 and 466,160,914,620

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Solution

The third proportional to 199,776,345,106.50 and 466,160,914,620 is: 1,087,746,390,612.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,776,345,106.50 : 466,160,914,620 = 466,160,914,620 : x
  2. Step 2: Convert to fraction form
    199,776,345,106.50/466,160,914,620 = 466,160,914,620/x
  3. Step 3: Cross multiply
    199,776,345,106.50x = 466,160,914,620 × 466,160,914,620
  4. Step 4: Simplify right side
    199,776,345,106.50x = 217,305,998,319,354,917,158,912
  5. Step 5: Solve for x
    x = 217,305,998,319,354,917,158,912/199,776,345,106.50
  6. Step 6: Final answer
    x = 1,087,746,390,612.51

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.