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Finding the Third Proportional to 272,354,521.50 and 564,088,384.13

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Solution

The third proportional to 272,354,521.50 and 564,088,384.13 is: 1,168,314,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,354,521.50 : 564,088,384.13 = 564,088,384.13 : x
  2. Step 2: Convert to fraction form
    272,354,521.50/564,088,384.13 = 564,088,384.13/x
  3. Step 3: Cross multiply
    272,354,521.50x = 564,088,384.13 × 564,088,384.13
  4. Step 4: Simplify right side
    272,354,521.50x = 318,195,705,104,753,536
  5. Step 5: Solve for x
    x = 318,195,705,104,753,536/272,354,521.50
  6. Step 6: Final answer
    x = 1,168,314,384.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.