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Finding the Third Proportional to 124,225,616.25 and 269,154,289.13

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Solution

The third proportional to 124,225,616.25 and 269,154,289.13 is: 583,164,998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,225,616.25 : 269,154,289.13 = 269,154,289.13 : x
  2. Step 2: Convert to fraction form
    124,225,616.25/269,154,289.13 = 269,154,289.13/x
  3. Step 3: Cross multiply
    124,225,616.25x = 269,154,289.13 × 269,154,289.13
  4. Step 4: Simplify right side
    124,225,616.25x = 72,444,031,354,384,096
  5. Step 5: Solve for x
    x = 72,444,031,354,384,096/124,225,616.25
  6. Step 6: Final answer
    x = 583,164,998.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.