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Finding the Third Proportional to 198,270,460 and 429,480,056

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Solution

The third proportional to 198,270,460 and 429,480,056 is: 930,310,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,270,460 : 429,480,056 = 429,480,056 : x
  2. Step 2: Convert to fraction form
    198,270,460/429,480,056 = 429,480,056/x
  3. Step 3: Cross multiply
    198,270,460x = 429,480,056 × 429,480,056
  4. Step 4: Simplify right side
    198,270,460x = 184,453,118,501,763,136
  5. Step 5: Solve for x
    x = 184,453,118,501,763,136/198,270,460
  6. Step 6: Final answer
    x = 930,310,639.83

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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.