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Finding the Third Proportional to 103,046,409 and 222,234,882.75

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Solution

The third proportional to 103,046,409 and 222,234,882.75 is: 479,282,525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,046,409 : 222,234,882.75 = 222,234,882.75 : x
  2. Step 2: Convert to fraction form
    103,046,409/222,234,882.75 = 222,234,882.75/x
  3. Step 3: Cross multiply
    103,046,409x = 222,234,882.75 × 222,234,882.75
  4. Step 4: Simplify right side
    103,046,409x = 49,388,343,110,906,248
  5. Step 5: Solve for x
    x = 49,388,343,110,906,248/103,046,409
  6. Step 6: Final answer
    x = 479,282,525.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.