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Finding the Third Proportional to 137,964,854 and 300,424,106

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Solution

The third proportional to 137,964,854 and 300,424,106 is: 654,185,764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,964,854 : 300,424,106 = 300,424,106 : x
  2. Step 2: Convert to fraction form
    137,964,854/300,424,106 = 300,424,106/x
  3. Step 3: Cross multiply
    137,964,854x = 300,424,106 × 300,424,106
  4. Step 4: Simplify right side
    137,964,854x = 90,254,643,465,899,232
  5. Step 5: Solve for x
    x = 90,254,643,465,899,232/137,964,854
  6. Step 6: Final answer
    x = 654,185,764.34

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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.