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Finding the Third Proportional to 201,088,141.88 and 432,989,983.13

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Solution

The third proportional to 201,088,141.88 and 432,989,983.13 is: 932,329,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,088,141.88 : 432,989,983.13 = 432,989,983.13 : x
  2. Step 2: Convert to fraction form
    201,088,141.88/432,989,983.13 = 432,989,983.13/x
  3. Step 3: Cross multiply
    201,088,141.88x = 432,989,983.13 × 432,989,983.13
  4. Step 4: Simplify right side
    201,088,141.88x = 187,480,325,486,587,776
  5. Step 5: Solve for x
    x = 187,480,325,486,587,776/201,088,141.88
  6. Step 6: Final answer
    x = 932,329,095.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.