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Finding the Third Proportional to 102,749,649 and 140,897,494.50

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Solution

The third proportional to 102,749,649 and 140,897,494.50 is: 193,208,484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,749,649 : 140,897,494.50 = 140,897,494.50 : x
  2. Step 2: Convert to fraction form
    102,749,649/140,897,494.50 = 140,897,494.50/x
  3. Step 3: Cross multiply
    102,749,649x = 140,897,494.50 × 140,897,494.50
  4. Step 4: Simplify right side
    102,749,649x = 19,852,103,956,377,532
  5. Step 5: Solve for x
    x = 19,852,103,956,377,532/102,749,649
  6. Step 6: Final answer
    x = 193,208,484.40

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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.