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Finding the Third Proportional to 193,807,748.25 and 297,896,373

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Solution

The third proportional to 193,807,748.25 and 297,896,373 is: 457,888,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,807,748.25 : 297,896,373 = 297,896,373 : x
  2. Step 2: Convert to fraction form
    193,807,748.25/297,896,373 = 297,896,373/x
  3. Step 3: Cross multiply
    193,807,748.25x = 297,896,373 × 297,896,373
  4. Step 4: Simplify right side
    193,807,748.25x = 88,742,249,046,555,136
  5. Step 5: Solve for x
    x = 88,742,249,046,555,136/193,807,748.25
  6. Step 6: Final answer
    x = 457,888,035.17

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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.