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Finding the Third Proportional to 137,964,851 and 300,424,102

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Solution

The third proportional to 137,964,851 and 300,424,102 is: 654,185,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,964,851 : 300,424,102 = 300,424,102 : x
  2. Step 2: Convert to fraction form
    137,964,851/300,424,102 = 300,424,102/x
  3. Step 3: Cross multiply
    137,964,851x = 300,424,102 × 300,424,102
  4. Step 4: Simplify right side
    137,964,851x = 90,254,641,062,506,400
  5. Step 5: Solve for x
    x = 90,254,641,062,506,400/137,964,851
  6. Step 6: Final answer
    x = 654,185,761.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.