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Finding the Third Proportional to 113,207,789 and 242,560,570

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Solution

The third proportional to 113,207,789 and 242,560,570 is: 519,713,622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,207,789 : 242,560,570 = 242,560,570 : x
  2. Step 2: Convert to fraction form
    113,207,789/242,560,570 = 242,560,570/x
  3. Step 3: Cross multiply
    113,207,789x = 242,560,570 × 242,560,570
  4. Step 4: Simplify right side
    113,207,789x = 58,835,630,118,724,896
  5. Step 5: Solve for x
    x = 58,835,630,118,724,896/113,207,789
  6. Step 6: Final answer
    x = 519,713,622.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.