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Finding the Third Proportional to 130,207,116 and 280,857,786

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Solution

The third proportional to 130,207,116 and 280,857,786 is: 605,812,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,207,116 : 280,857,786 = 280,857,786 : x
  2. Step 2: Convert to fraction form
    130,207,116/280,857,786 = 280,857,786/x
  3. Step 3: Cross multiply
    130,207,116x = 280,857,786 × 280,857,786
  4. Step 4: Simplify right side
    130,207,116x = 78,881,095,956,821,792
  5. Step 5: Solve for x
    x = 78,881,095,956,821,792/130,207,116
  6. Step 6: Final answer
    x = 605,812,480.76

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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.