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Finding the Third Proportional to 177,141,909.75 and 249,346,142.25

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Solution

The third proportional to 177,141,909.75 and 249,346,142.25 is: 350,981,305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,141,909.75 : 249,346,142.25 = 249,346,142.25 : x
  2. Step 2: Convert to fraction form
    177,141,909.75/249,346,142.25 = 249,346,142.25/x
  3. Step 3: Cross multiply
    177,141,909.75x = 249,346,142.25 × 249,346,142.25
  4. Step 4: Simplify right side
    177,141,909.75x = 62,173,498,654,957,232
  5. Step 5: Solve for x
    x = 62,173,498,654,957,232/177,141,909.75
  6. Step 6: Final answer
    x = 350,981,305.00

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.