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Finding the Third Proportional to 160,129,654 and 349,621,484

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Solution

The third proportional to 160,129,654 and 349,621,484 is: 763,351,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,129,654 : 349,621,484 = 349,621,484 : x
  2. Step 2: Convert to fraction form
    160,129,654/349,621,484 = 349,621,484/x
  3. Step 3: Cross multiply
    160,129,654x = 349,621,484 × 349,621,484
  4. Step 4: Simplify right side
    160,129,654x = 122,235,182,074,362,256
  5. Step 5: Solve for x
    x = 122,235,182,074,362,256/160,129,654
  6. Step 6: Final answer
    x = 763,351,315.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.