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Finding the Third Proportional to 147,901,328 and 230,805,669

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Solution

The third proportional to 147,901,328 and 230,805,669 is: 360,181,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,901,328 : 230,805,669 = 230,805,669 : x
  2. Step 2: Convert to fraction form
    147,901,328/230,805,669 = 230,805,669/x
  3. Step 3: Cross multiply
    147,901,328x = 230,805,669 × 230,805,669
  4. Step 4: Simplify right side
    147,901,328x = 53,271,256,842,537,560
  5. Step 5: Solve for x
    x = 53,271,256,842,537,560/147,901,328
  6. Step 6: Final answer
    x = 360,181,058.30

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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.