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Finding the Third Proportional to 132,625,502,551.50 and 288,488,365,372.50

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Solution

The third proportional to 132,625,502,551.50 and 288,488,365,372.50 is: 627,522,877,230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,625,502,551.50 : 288,488,365,372.50 = 288,488,365,372.50 : x
  2. Step 2: Convert to fraction form
    132,625,502,551.50/288,488,365,372.50 = 288,488,365,372.50/x
  3. Step 3: Cross multiply
    132,625,502,551.50x = 288,488,365,372.50 × 288,488,365,372.50
  4. Step 4: Simplify right side
    132,625,502,551.50x = 83,225,536,955,297,055,113,216
  5. Step 5: Solve for x
    x = 83,225,536,955,297,055,113,216/132,625,502,551.50
  6. Step 6: Final answer
    x = 627,522,877,230.79

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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.