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Finding the Third Proportional to 129,204,417 and 198,596,530.50

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Solution

The third proportional to 129,204,417 and 198,596,530.50 is: 305,257,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,204,417 : 198,596,530.50 = 198,596,530.50 : x
  2. Step 2: Convert to fraction form
    129,204,417/198,596,530.50 = 198,596,530.50/x
  3. Step 3: Cross multiply
    129,204,417x = 198,596,530.50 × 198,596,530.50
  4. Step 4: Simplify right side
    129,204,417x = 39,440,581,926,637,432
  5. Step 5: Solve for x
    x = 39,440,581,926,637,432/129,204,417
  6. Step 6: Final answer
    x = 305,257,226.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.