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Finding the Third Proportional to 119,129,317,254 and 255,253,995,602

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Solution

The third proportional to 119,129,317,254 and 255,253,995,602 is: 546,923,324,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,129,317,254 : 255,253,995,602 = 255,253,995,602 : x
  2. Step 2: Convert to fraction form
    119,129,317,254/255,253,995,602 = 255,253,995,602/x
  3. Step 3: Cross multiply
    119,129,317,254x = 255,253,995,602 × 255,253,995,602
  4. Step 4: Simplify right side
    119,129,317,254x = 65,154,602,270,785,833,795,584
  5. Step 5: Solve for x
    x = 65,154,602,270,785,833,795,584/119,129,317,254
  6. Step 6: Final answer
    x = 546,923,324,775.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.