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Finding the Third Proportional to 103,046,499 and 222,235,052.63

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Solution

The third proportional to 103,046,499 and 222,235,052.63 is: 479,282,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,046,499 : 222,235,052.63 = 222,235,052.63 : x
  2. Step 2: Convert to fraction form
    103,046,499/222,235,052.63 = 222,235,052.63/x
  3. Step 3: Cross multiply
    103,046,499x = 222,235,052.63 × 222,235,052.63
  4. Step 4: Simplify right side
    103,046,499x = 49,388,418,615,236,520
  5. Step 5: Solve for x
    x = 49,388,418,615,236,520/103,046,499
  6. Step 6: Final answer
    x = 479,282,839.25

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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.