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Finding the Third Proportional to 169,654,969,260 and 253,011,225,726

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Solution

The third proportional to 169,654,969,260 and 253,011,225,726 is: 377,322,754,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,654,969,260 : 253,011,225,726 = 253,011,225,726 : x
  2. Step 2: Convert to fraction form
    169,654,969,260/253,011,225,726 = 253,011,225,726/x
  3. Step 3: Cross multiply
    169,654,969,260x = 253,011,225,726 × 253,011,225,726
  4. Step 4: Simplify right side
    169,654,969,260x = 64,014,680,343,372,925,763,584
  5. Step 5: Solve for x
    x = 64,014,680,343,372,925,763,584/169,654,969,260
  6. Step 6: Final answer
    x = 377,322,754,662.55

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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.