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Finding the Third Proportional to 198,255,886.50 and 429,461,661.75

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Solution

The third proportional to 198,255,886.50 and 429,461,661.75 is: 930,299,332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,255,886.50 : 429,461,661.75 = 429,461,661.75 : x
  2. Step 2: Convert to fraction form
    198,255,886.50/429,461,661.75 = 429,461,661.75/x
  3. Step 3: Cross multiply
    198,255,886.50x = 429,461,661.75 × 429,461,661.75
  4. Step 4: Simplify right side
    198,255,886.50x = 184,437,318,913,071,424
  5. Step 5: Solve for x
    x = 184,437,318,913,071,424/198,255,886.50
  6. Step 6: Final answer
    x = 930,299,332.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.