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Finding the Third Proportional to 89,720,384 and 134,431,312

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Solution

The third proportional to 89,720,384 and 134,431,312 is: 201,423,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,720,384 : 134,431,312 = 134,431,312 : x
  2. Step 2: Convert to fraction form
    89,720,384/134,431,312 = 134,431,312/x
  3. Step 3: Cross multiply
    89,720,384x = 134,431,312 × 134,431,312
  4. Step 4: Simplify right side
    89,720,384x = 18,071,777,646,041,344
  5. Step 5: Solve for x
    x = 18,071,777,646,041,344/89,720,384
  6. Step 6: Final answer
    x = 201,423,320.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.