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Finding the Third Proportional to 291,013,677 and 439,541,869.50

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Solution

The third proportional to 291,013,677 and 439,541,869.50 is: 663,876,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,013,677 : 439,541,869.50 = 439,541,869.50 : x
  2. Step 2: Convert to fraction form
    291,013,677/439,541,869.50 = 439,541,869.50/x
  3. Step 3: Cross multiply
    291,013,677x = 439,541,869.50 × 439,541,869.50
  4. Step 4: Simplify right side
    291,013,677x = 193,197,055,043,555,040
  5. Step 5: Solve for x
    x = 193,197,055,043,555,040/291,013,677
  6. Step 6: Final answer
    x = 663,876,203.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.