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Finding the Third Proportional to 130,023,853 and 178,294,292

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Solution

The third proportional to 130,023,853 and 178,294,292 is: 244,484,791.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,023,853 : 178,294,292 = 178,294,292 : x
  2. Step 2: Convert to fraction form
    130,023,853/178,294,292 = 178,294,292/x
  3. Step 3: Cross multiply
    130,023,853x = 178,294,292 × 178,294,292
  4. Step 4: Simplify right side
    130,023,853x = 31,788,854,559,781,264
  5. Step 5: Solve for x
    x = 31,788,854,559,781,264/130,023,853
  6. Step 6: Final answer
    x = 244,484,791.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.