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Finding the Third Proportional to 99,127,972.13 and 214,730,892

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Solution

The third proportional to 99,127,972.13 and 214,730,892 is: 465,149,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,127,972.13 : 214,730,892 = 214,730,892 : x
  2. Step 2: Convert to fraction form
    99,127,972.13/214,730,892 = 214,730,892/x
  3. Step 3: Cross multiply
    99,127,972.13x = 214,730,892 × 214,730,892
  4. Step 4: Simplify right side
    99,127,972.13x = 46,109,355,979,115,664
  5. Step 5: Solve for x
    x = 46,109,355,979,115,664/99,127,972.13
  6. Step 6: Final answer
    x = 465,149,795.67

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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.