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Finding the Third Proportional to 136,209,564,356 and 318,247,014,658

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Solution

The third proportional to 136,209,564,356 and 318,247,014,658 is: 743,568,653,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,209,564,356 : 318,247,014,658 = 318,247,014,658 : x
  2. Step 2: Convert to fraction form
    136,209,564,356/318,247,014,658 = 318,247,014,658/x
  3. Step 3: Cross multiply
    136,209,564,356x = 318,247,014,658 × 318,247,014,658
  4. Step 4: Simplify right side
    136,209,564,356x = 101,281,162,338,729,264,676,864
  5. Step 5: Solve for x
    x = 101,281,162,338,729,264,676,864/136,209,564,356
  6. Step 6: Final answer
    x = 743,568,653,329.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.