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Finding the Third Proportional to 83,662,428 and 181,217,808

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Solution

The third proportional to 83,662,428 and 181,217,808 is: 392,528,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,662,428 : 181,217,808 = 181,217,808 : x
  2. Step 2: Convert to fraction form
    83,662,428/181,217,808 = 181,217,808/x
  3. Step 3: Cross multiply
    83,662,428x = 181,217,808 × 181,217,808
  4. Step 4: Simplify right side
    83,662,428x = 32,839,893,936,324,864
  5. Step 5: Solve for x
    x = 32,839,893,936,324,864/83,662,428
  6. Step 6: Final answer
    x = 392,528,578.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.