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Finding the Third Proportional to 102,778,251,030 and 157,121,457,714

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Solution

The third proportional to 102,778,251,030 and 157,121,457,714 is: 240,198,215,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,778,251,030 : 157,121,457,714 = 157,121,457,714 : x
  2. Step 2: Convert to fraction form
    102,778,251,030/157,121,457,714 = 157,121,457,714/x
  3. Step 3: Cross multiply
    102,778,251,030x = 157,121,457,714 × 157,121,457,714
  4. Step 4: Simplify right side
    102,778,251,030x = 24,687,152,474,172,292,071,424
  5. Step 5: Solve for x
    x = 24,687,152,474,172,292,071,424/102,778,251,030
  6. Step 6: Final answer
    x = 240,198,215,349.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.