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Finding the Third Proportional to 75,114,641 and 158,299,312

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Solution

The third proportional to 75,114,641 and 158,299,312 is: 333,605,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,114,641 : 158,299,312 = 158,299,312 : x
  2. Step 2: Convert to fraction form
    75,114,641/158,299,312 = 158,299,312/x
  3. Step 3: Cross multiply
    75,114,641x = 158,299,312 × 158,299,312
  4. Step 4: Simplify right side
    75,114,641x = 25,058,672,179,673,344
  5. Step 5: Solve for x
    x = 25,058,672,179,673,344/75,114,641
  6. Step 6: Final answer
    x = 333,605,697.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.