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Finding the Third Proportional to 220,835,623.13 and 464,516,648.25

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Solution

The third proportional to 220,835,623.13 and 464,516,648.25 is: 977,087,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,835,623.13 : 464,516,648.25 = 464,516,648.25 : x
  2. Step 2: Convert to fraction form
    220,835,623.13/464,516,648.25 = 464,516,648.25/x
  3. Step 3: Cross multiply
    220,835,623.13x = 464,516,648.25 × 464,516,648.25
  4. Step 4: Simplify right side
    220,835,623.13x = 215,775,716,501,414,240
  5. Step 5: Solve for x
    x = 215,775,716,501,414,240/220,835,623.13
  6. Step 6: Final answer
    x = 977,087,452.87

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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.