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Finding the Third Proportional to 42,249,118.75 and 90,078,829.75

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Solution

The third proportional to 42,249,118.75 and 90,078,829.75 is: 192,055,972.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,249,118.75 : 90,078,829.75 = 90,078,829.75 : x
  2. Step 2: Convert to fraction form
    42,249,118.75/90,078,829.75 = 90,078,829.75/x
  3. Step 3: Cross multiply
    42,249,118.75x = 90,078,829.75 × 90,078,829.75
  4. Step 4: Simplify right side
    42,249,118.75x = 8,114,195,569,129,485
  5. Step 5: Solve for x
    x = 8,114,195,569,129,485/42,249,118.75
  6. Step 6: Final answer
    x = 192,055,972.03

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.