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Finding the Third Proportional to 208,248,016.50 and 304,706,252.25

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Solution

The third proportional to 208,248,016.50 and 304,706,252.25 is: 445,842,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,248,016.50 : 304,706,252.25 = 304,706,252.25 : x
  2. Step 2: Convert to fraction form
    208,248,016.50/304,706,252.25 = 304,706,252.25/x
  3. Step 3: Cross multiply
    208,248,016.50x = 304,706,252.25 × 304,706,252.25
  4. Step 4: Simplify right side
    208,248,016.50x = 92,845,900,160,240,624
  5. Step 5: Solve for x
    x = 92,845,900,160,240,624/208,248,016.50
  6. Step 6: Final answer
    x = 445,842,902.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.