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Finding the Third Proportional to 104,730,023.25 and 220,313,580.75

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Solution

The third proportional to 104,730,023.25 and 220,313,580.75 is: 463,459,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,730,023.25 : 220,313,580.75 = 220,313,580.75 : x
  2. Step 2: Convert to fraction form
    104,730,023.25/220,313,580.75 = 220,313,580.75/x
  3. Step 3: Cross multiply
    104,730,023.25x = 220,313,580.75 × 220,313,580.75
  4. Step 4: Simplify right side
    104,730,023.25x = 48,538,073,862,886,768
  5. Step 5: Solve for x
    x = 48,538,073,862,886,768/104,730,023.25
  6. Step 6: Final answer
    x = 463,459,019.26

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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.