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Finding the Third Proportional to 147,901,266 and 230,805,567

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Solution

The third proportional to 147,901,266 and 230,805,567 is: 360,180,890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,901,266 : 230,805,567 = 230,805,567 : x
  2. Step 2: Convert to fraction form
    147,901,266/230,805,567 = 230,805,567/x
  3. Step 3: Cross multiply
    147,901,266x = 230,805,567 × 230,805,567
  4. Step 4: Simplify right side
    147,901,266x = 53,271,209,758,191,488
  5. Step 5: Solve for x
    x = 53,271,209,758,191,488/147,901,266
  6. Step 6: Final answer
    x = 360,180,890.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.