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Finding the Third Proportional to 53,670,234 and 117,884,130

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Solution

The third proportional to 53,670,234 and 117,884,130 is: 258,926,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,670,234 : 117,884,130 = 117,884,130 : x
  2. Step 2: Convert to fraction form
    53,670,234/117,884,130 = 117,884,130/x
  3. Step 3: Cross multiply
    53,670,234x = 117,884,130 × 117,884,130
  4. Step 4: Simplify right side
    53,670,234x = 13,896,668,105,856,900
  5. Step 5: Solve for x
    x = 13,896,668,105,856,900/53,670,234
  6. Step 6: Final answer
    x = 258,926,914.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.