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Finding the Third Proportional to 98,627,280.75 and 157,073,829.75

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Solution

The third proportional to 98,627,280.75 and 157,073,829.75 is: 250,155,816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,627,280.75 : 157,073,829.75 = 157,073,829.75 : x
  2. Step 2: Convert to fraction form
    98,627,280.75/157,073,829.75 = 157,073,829.75/x
  3. Step 3: Cross multiply
    98,627,280.75x = 157,073,829.75 × 157,073,829.75
  4. Step 4: Simplify right side
    98,627,280.75x = 24,672,187,992,331,984
  5. Step 5: Solve for x
    x = 24,672,187,992,331,984/98,627,280.75
  6. Step 6: Final answer
    x = 250,155,816.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.