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Finding the Third Proportional to 147,901,320 and 230,805,657

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Solution

The third proportional to 147,901,320 and 230,805,657 is: 360,181,040.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,901,320 : 230,805,657 = 230,805,657 : x
  2. Step 2: Convert to fraction form
    147,901,320/230,805,657 = 230,805,657/x
  3. Step 3: Cross multiply
    147,901,320x = 230,805,657 × 230,805,657
  4. Step 4: Simplify right side
    147,901,320x = 53,271,251,303,201,648
  5. Step 5: Solve for x
    x = 53,271,251,303,201,648/147,901,320
  6. Step 6: Final answer
    x = 360,181,040.33

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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.