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Finding the Third Proportional to 142,177,691,284 and 296,123,346,464

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Solution

The third proportional to 142,177,691,284 and 296,123,346,464 is: 616,756,648,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,177,691,284 : 296,123,346,464 = 296,123,346,464 : x
  2. Step 2: Convert to fraction form
    142,177,691,284/296,123,346,464 = 296,123,346,464/x
  3. Step 3: Cross multiply
    142,177,691,284x = 296,123,346,464 × 296,123,346,464
  4. Step 4: Simplify right side
    142,177,691,284x = 87,689,036,321,038,178,189,312
  5. Step 5: Solve for x
    x = 87,689,036,321,038,178,189,312/142,177,691,284
  6. Step 6: Final answer
    x = 616,756,648,171.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.