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Finding the Third Proportional to 233,132,649 and 510,067,657.50

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Solution

The third proportional to 233,132,649 and 510,067,657.50 is: 1,115,969,883.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,132,649 : 510,067,657.50 = 510,067,657.50 : x
  2. Step 2: Convert to fraction form
    233,132,649/510,067,657.50 = 510,067,657.50/x
  3. Step 3: Cross multiply
    233,132,649x = 510,067,657.50 × 510,067,657.50
  4. Step 4: Simplify right side
    233,132,649x = 260,169,015,227,537,312
  5. Step 5: Solve for x
    x = 260,169,015,227,537,312/233,132,649
  6. Step 6: Final answer
    x = 1,115,969,883.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.