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Finding the Third Proportional to 99,517,677.75 and 155,773,698.75

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Solution

The third proportional to 99,517,677.75 and 155,773,698.75 is: 243,830,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,517,677.75 : 155,773,698.75 = 155,773,698.75 : x
  2. Step 2: Convert to fraction form
    99,517,677.75/155,773,698.75 = 155,773,698.75/x
  3. Step 3: Cross multiply
    99,517,677.75x = 155,773,698.75 × 155,773,698.75
  4. Step 4: Simplify right side
    99,517,677.75x = 24,265,445,222,255,752
  5. Step 5: Solve for x
    x = 24,265,445,222,255,752/99,517,677.75
  6. Step 6: Final answer
    x = 243,830,500.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.