Home / 102,155,053.50-224,176,812.75

Finding the Third Proportional to 102,155,053.50 and 224,176,812.75

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Solution

The third proportional to 102,155,053.50 and 224,176,812.75 is: 491,950,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,155,053.50 : 224,176,812.75 = 224,176,812.75 : x
  2. Step 2: Convert to fraction form
    102,155,053.50/224,176,812.75 = 224,176,812.75/x
  3. Step 3: Cross multiply
    102,155,053.50x = 224,176,812.75 × 224,176,812.75
  4. Step 4: Simplify right side
    102,155,053.50x = 50,255,243,374,748,560
  5. Step 5: Solve for x
    x = 50,255,243,374,748,560/102,155,053.50
  6. Step 6: Final answer
    x = 491,950,634.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.