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Finding the Third Proportional to 130,019,033.25 and 270,799,746.75

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Solution

The third proportional to 130,019,033.25 and 270,799,746.75 is: 564,013,598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,019,033.25 : 270,799,746.75 = 270,799,746.75 : x
  2. Step 2: Convert to fraction form
    130,019,033.25/270,799,746.75 = 270,799,746.75/x
  3. Step 3: Cross multiply
    130,019,033.25x = 270,799,746.75 × 270,799,746.75
  4. Step 4: Simplify right side
    130,019,033.25x = 73,332,502,839,864,128
  5. Step 5: Solve for x
    x = 73,332,502,839,864,128/130,019,033.25
  6. Step 6: Final answer
    x = 564,013,598.68

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.