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Finding the Third Proportional to 136,447,425 and 296,801,797.50

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Solution

The third proportional to 136,447,425 and 296,801,797.50 is: 645,606,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,447,425 : 296,801,797.50 = 296,801,797.50 : x
  2. Step 2: Convert to fraction form
    136,447,425/296,801,797.50 = 296,801,797.50/x
  3. Step 3: Cross multiply
    136,447,425x = 296,801,797.50 × 296,801,797.50
  4. Step 4: Simplify right side
    136,447,425x = 88,091,306,999,231,008
  5. Step 5: Solve for x
    x = 88,091,306,999,231,008/136,447,425
  6. Step 6: Final answer
    x = 645,606,225.25

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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.