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Finding the Third Proportional to 220,835,691 and 464,516,784

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Solution

The third proportional to 220,835,691 and 464,516,784 is: 977,087,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,835,691 : 464,516,784 = 464,516,784 : x
  2. Step 2: Convert to fraction form
    220,835,691/464,516,784 = 464,516,784/x
  3. Step 3: Cross multiply
    220,835,691x = 464,516,784 × 464,516,784
  4. Step 4: Simplify right side
    220,835,691x = 215,775,842,617,702,656
  5. Step 5: Solve for x
    x = 215,775,842,617,702,656/220,835,691
  6. Step 6: Final answer
    x = 977,087,723.64

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