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Finding the Third Proportional to 130,210,035.75 and 280,864,599.75

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Solution

The third proportional to 130,210,035.75 and 280,864,599.75 is: 605,828,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,210,035.75 : 280,864,599.75 = 280,864,599.75 : x
  2. Step 2: Convert to fraction form
    130,210,035.75/280,864,599.75 = 280,864,599.75/x
  3. Step 3: Cross multiply
    130,210,035.75x = 280,864,599.75 × 280,864,599.75
  4. Step 4: Simplify right side
    130,210,035.75x = 78,884,923,392,727,696
  5. Step 5: Solve for x
    x = 78,884,923,392,727,696/130,210,035.75
  6. Step 6: Final answer
    x = 605,828,290.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.