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Finding the Third Proportional to 47,537,149.50 and 103,205,005.50

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Solution

The third proportional to 47,537,149.50 and 103,205,005.50 is: 224,062,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,537,149.50 : 103,205,005.50 = 103,205,005.50 : x
  2. Step 2: Convert to fraction form
    47,537,149.50/103,205,005.50 = 103,205,005.50/x
  3. Step 3: Cross multiply
    47,537,149.50x = 103,205,005.50 × 103,205,005.50
  4. Step 4: Simplify right side
    47,537,149.50x = 10,651,273,160,255,030
  5. Step 5: Solve for x
    x = 10,651,273,160,255,030/47,537,149.50
  6. Step 6: Final answer
    x = 224,062,091.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.