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Finding the Third Proportional to 299,294,358 and 643,145,196

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Solution

The third proportional to 299,294,358 and 643,145,196 is: 1,382,036,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,294,358 : 643,145,196 = 643,145,196 : x
  2. Step 2: Convert to fraction form
    299,294,358/643,145,196 = 643,145,196/x
  3. Step 3: Cross multiply
    299,294,358x = 643,145,196 × 643,145,196
  4. Step 4: Simplify right side
    299,294,358x = 413,635,743,137,878,400
  5. Step 5: Solve for x
    x = 413,635,743,137,878,400/299,294,358
  6. Step 6: Final answer
    x = 1,382,036,553.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.