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Finding the Third Proportional to 134,389,174,338 and 287,947,129,167

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Solution

The third proportional to 134,389,174,338 and 287,947,129,167 is: 616,965,984,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,389,174,338 : 287,947,129,167 = 287,947,129,167 : x
  2. Step 2: Convert to fraction form
    134,389,174,338/287,947,129,167 = 287,947,129,167/x
  3. Step 3: Cross multiply
    134,389,174,338x = 287,947,129,167 × 287,947,129,167
  4. Step 4: Simplify right side
    134,389,174,338x = 82,913,549,195,516,984,688,640
  5. Step 5: Solve for x
    x = 82,913,549,195,516,984,688,640/134,389,174,338
  6. Step 6: Final answer
    x = 616,965,984,082.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.