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Finding the Third Proportional to 124,225,652 and 269,154,376

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Solution

The third proportional to 124,225,652 and 269,154,376 is: 583,165,207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,225,652 : 269,154,376 = 269,154,376 : x
  2. Step 2: Convert to fraction form
    124,225,652/269,154,376 = 269,154,376/x
  3. Step 3: Cross multiply
    124,225,652x = 269,154,376 × 269,154,376
  4. Step 4: Simplify right side
    124,225,652x = 72,444,078,119,949,376
  5. Step 5: Solve for x
    x = 72,444,078,119,949,376/124,225,652
  6. Step 6: Final answer
    x = 583,165,207.46

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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.