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Finding the Third Proportional to 249,240,503.25 and 542,369,175.75

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Solution

The third proportional to 249,240,503.25 and 542,369,175.75 is: 1,180,242,853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,240,503.25 : 542,369,175.75 = 542,369,175.75 : x
  2. Step 2: Convert to fraction form
    249,240,503.25/542,369,175.75 = 542,369,175.75/x
  3. Step 3: Cross multiply
    249,240,503.25x = 542,369,175.75 × 542,369,175.75
  4. Step 4: Simplify right side
    249,240,503.25x = 294,164,322,803,734,400
  5. Step 5: Solve for x
    x = 294,164,322,803,734,400/249,240,503.25
  6. Step 6: Final answer
    x = 1,180,242,853.66

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