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Finding the Third Proportional to 107,672,792 and 233,518,094

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Solution

The third proportional to 107,672,792 and 233,518,094 is: 506,448,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,672,792 : 233,518,094 = 233,518,094 : x
  2. Step 2: Convert to fraction form
    107,672,792/233,518,094 = 233,518,094/x
  3. Step 3: Cross multiply
    107,672,792x = 233,518,094 × 233,518,094
  4. Step 4: Simplify right side
    107,672,792x = 54,530,700,225,392,832
  5. Step 5: Solve for x
    x = 54,530,700,225,392,832/107,672,792
  6. Step 6: Final answer
    x = 506,448,279.20

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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.