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Finding the Third Proportional to 75,114,643 and 158,299,316

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Solution

The third proportional to 75,114,643 and 158,299,316 is: 333,605,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,114,643 : 158,299,316 = 158,299,316 : x
  2. Step 2: Convert to fraction form
    75,114,643/158,299,316 = 158,299,316/x
  3. Step 3: Cross multiply
    75,114,643x = 158,299,316 × 158,299,316
  4. Step 4: Simplify right side
    75,114,643x = 25,058,673,446,067,856
  5. Step 5: Solve for x
    x = 25,058,673,446,067,856/75,114,643
  6. Step 6: Final answer
    x = 333,605,705.16

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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.