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Finding the Third Proportional to 153,928,080 and 320,593,248

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Solution

The third proportional to 153,928,080 and 320,593,248 is: 667,714,627.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,928,080 : 320,593,248 = 320,593,248 : x
  2. Step 2: Convert to fraction form
    153,928,080/320,593,248 = 320,593,248/x
  3. Step 3: Cross multiply
    153,928,080x = 320,593,248 × 320,593,248
  4. Step 4: Simplify right side
    153,928,080x = 102,780,030,663,189,504
  5. Step 5: Solve for x
    x = 102,780,030,663,189,504/153,928,080
  6. Step 6: Final answer
    x = 667,714,627.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.