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Finding the Third Proportional to 83,916,008 and 129,600,732

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Solution

The third proportional to 83,916,008 and 129,600,732 is: 200,156,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,916,008 : 129,600,732 = 129,600,732 : x
  2. Step 2: Convert to fraction form
    83,916,008/129,600,732 = 129,600,732/x
  3. Step 3: Cross multiply
    83,916,008x = 129,600,732 × 129,600,732
  4. Step 4: Simplify right side
    83,916,008x = 16,796,349,734,935,824
  5. Step 5: Solve for x
    x = 16,796,349,734,935,824/83,916,008
  6. Step 6: Final answer
    x = 200,156,682.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.