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Finding the Third Proportional to 137,913,216 and 205,674,048

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Solution

The third proportional to 137,913,216 and 205,674,048 is: 306,727,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,913,216 : 205,674,048 = 205,674,048 : x
  2. Step 2: Convert to fraction form
    137,913,216/205,674,048 = 205,674,048/x
  3. Step 3: Cross multiply
    137,913,216x = 205,674,048 × 205,674,048
  4. Step 4: Simplify right side
    137,913,216x = 42,301,814,020,706,304
  5. Step 5: Solve for x
    x = 42,301,814,020,706,304/137,913,216
  6. Step 6: Final answer
    x = 306,727,775.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.