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Finding the Third Proportional to 197,000,363.25 and 302,176,774.13

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Solution

The third proportional to 197,000,363.25 and 302,176,774.13 is: 463,505,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,000,363.25 : 302,176,774.13 = 302,176,774.13 : x
  2. Step 2: Convert to fraction form
    197,000,363.25/302,176,774.13 = 302,176,774.13/x
  3. Step 3: Cross multiply
    197,000,363.25x = 302,176,774.13 × 302,176,774.13
  4. Step 4: Simplify right side
    197,000,363.25x = 91,310,802,820,591,264
  5. Step 5: Solve for x
    x = 91,310,802,820,591,264/197,000,363.25
  6. Step 6: Final answer
    x = 463,505,758.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.