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Finding the Third Proportional to 53,272,068 and 116,913,249

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Solution

The third proportional to 53,272,068 and 116,913,249 is: 256,583,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,272,068 : 116,913,249 = 116,913,249 : x
  2. Step 2: Convert to fraction form
    53,272,068/116,913,249 = 116,913,249/x
  3. Step 3: Cross multiply
    53,272,068x = 116,913,249 × 116,913,249
  4. Step 4: Simplify right side
    53,272,068x = 13,668,707,791,736,000
  5. Step 5: Solve for x
    x = 13,668,707,791,736,000/53,272,068
  6. Step 6: Final answer
    x = 256,583,014.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.