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Finding the Third Proportional to 226,077,160 and 489,721,345

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Solution

The third proportional to 226,077,160 and 489,721,345 is: 1,060,819,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,077,160 : 489,721,345 = 489,721,345 : x
  2. Step 2: Convert to fraction form
    226,077,160/489,721,345 = 489,721,345/x
  3. Step 3: Cross multiply
    226,077,160x = 489,721,345 × 489,721,345
  4. Step 4: Simplify right side
    226,077,160x = 239,826,995,748,609,024
  5. Step 5: Solve for x
    x = 239,826,995,748,609,024/226,077,160
  6. Step 6: Final answer
    x = 1,060,819,216.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.