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Finding the Third Proportional to 249,238,505.25 and 542,365,179.75

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Solution

The third proportional to 249,238,505.25 and 542,365,179.75 is: 1,180,234,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,238,505.25 : 542,365,179.75 = 542,365,179.75 : x
  2. Step 2: Convert to fraction form
    249,238,505.25/542,365,179.75 = 542,365,179.75/x
  3. Step 3: Cross multiply
    249,238,505.25x = 542,365,179.75 × 542,365,179.75
  4. Step 4: Simplify right side
    249,238,505.25x = 294,159,988,205,249,792
  5. Step 5: Solve for x
    x = 294,159,988,205,249,792/249,238,505.25
  6. Step 6: Final answer
    x = 1,180,234,923.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.