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Finding the Third Proportional to 66,175,058 and 145,412,316

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Solution

The third proportional to 66,175,058 and 145,412,316 is: 319,527,360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,175,058 : 145,412,316 = 145,412,316 : x
  2. Step 2: Convert to fraction form
    66,175,058/145,412,316 = 145,412,316/x
  3. Step 3: Cross multiply
    66,175,058x = 145,412,316 × 145,412,316
  4. Step 4: Simplify right side
    66,175,058x = 21,144,741,644,483,856
  5. Step 5: Solve for x
    x = 21,144,741,644,483,856/66,175,058
  6. Step 6: Final answer
    x = 319,527,360.97

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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.