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Finding the Third Proportional to 220,835,620.69 and 464,516,643.38

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Solution

The third proportional to 220,835,620.69 and 464,516,643.38 is: 977,087,443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,835,620.69 : 464,516,643.38 = 464,516,643.38 : x
  2. Step 2: Convert to fraction form
    220,835,620.69/464,516,643.38 = 464,516,643.38/x
  3. Step 3: Cross multiply
    220,835,620.69x = 464,516,643.38 × 464,516,643.38
  4. Step 4: Simplify right side
    220,835,620.69x = 215,775,711,972,376,928
  5. Step 5: Solve for x
    x = 215,775,711,972,376,928/220,835,620.69
  6. Step 6: Final answer
    x = 977,087,443.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.