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Finding the Third Proportional to 197,129,403 and 306,446,535

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Solution

The third proportional to 197,129,403 and 306,446,535 is: 476,384,939.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,129,403 : 306,446,535 = 306,446,535 : x
  2. Step 2: Convert to fraction form
    197,129,403/306,446,535 = 306,446,535/x
  3. Step 3: Cross multiply
    197,129,403x = 306,446,535 × 306,446,535
  4. Step 4: Simplify right side
    197,129,403x = 93,909,478,813,506,224
  5. Step 5: Solve for x
    x = 93,909,478,813,506,224/197,129,403
  6. Step 6: Final answer
    x = 476,384,939.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.