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Finding the Third Proportional to 145,672,166 and 312,004,588

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Solution

The third proportional to 145,672,166 and 312,004,588 is: 668,259,871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,672,166 : 312,004,588 = 312,004,588 : x
  2. Step 2: Convert to fraction form
    145,672,166/312,004,588 = 312,004,588/x
  3. Step 3: Cross multiply
    145,672,166x = 312,004,588 × 312,004,588
  4. Step 4: Simplify right side
    145,672,166x = 97,346,862,933,049,744
  5. Step 5: Solve for x
    x = 97,346,862,933,049,744/145,672,166
  6. Step 6: Final answer
    x = 668,259,871.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.