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Finding the Third Proportional to 130,109,140.69 and 283,951,478.81

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Solution

The third proportional to 130,109,140.69 and 283,951,478.81 is: 619,698,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,109,140.69 : 283,951,478.81 = 283,951,478.81 : x
  2. Step 2: Convert to fraction form
    130,109,140.69/283,951,478.81 = 283,951,478.81/x
  3. Step 3: Cross multiply
    130,109,140.69x = 283,951,478.81 × 283,951,478.81
  4. Step 4: Simplify right side
    130,109,140.69x = 80,628,442,319,805,632
  5. Step 5: Solve for x
    x = 80,628,442,319,805,632/130,109,140.69
  6. Step 6: Final answer
    x = 619,698,523.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.