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Finding the Third Proportional to 169,654,969,264 and 253,011,225,732

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Solution

The third proportional to 169,654,969,264 and 253,011,225,732 is: 377,322,754,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,654,969,264 : 253,011,225,732 = 253,011,225,732 : x
  2. Step 2: Convert to fraction form
    169,654,969,264/253,011,225,732 = 253,011,225,732/x
  3. Step 3: Cross multiply
    169,654,969,264x = 253,011,225,732 × 253,011,225,732
  4. Step 4: Simplify right side
    169,654,969,264x = 64,014,680,346,409,056,600,064
  5. Step 5: Solve for x
    x = 64,014,680,346,409,056,600,064/169,654,969,264
  6. Step 6: Final answer
    x = 377,322,754,671.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.