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Finding the Third Proportional to 68,996,580 and 147,566,514

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Solution

The third proportional to 68,996,580 and 147,566,514 is: 315,608,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,996,580 : 147,566,514 = 147,566,514 : x
  2. Step 2: Convert to fraction form
    68,996,580/147,566,514 = 147,566,514/x
  3. Step 3: Cross multiply
    68,996,580x = 147,566,514 × 147,566,514
  4. Step 4: Simplify right side
    68,996,580x = 21,775,876,054,112,196
  5. Step 5: Solve for x
    x = 21,775,876,054,112,196/68,996,580
  6. Step 6: Final answer
    x = 315,608,049.76

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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.