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Finding the Third Proportional to 75,717,840 and 164,702,224.50

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Solution

The third proportional to 75,717,840 and 164,702,224.50 is: 358,261,973.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,717,840 : 164,702,224.50 = 164,702,224.50 : x
  2. Step 2: Convert to fraction form
    75,717,840/164,702,224.50 = 164,702,224.50/x
  3. Step 3: Cross multiply
    75,717,840x = 164,702,224.50 × 164,702,224.50
  4. Step 4: Simplify right side
    75,717,840x = 27,126,822,755,248,400
  5. Step 5: Solve for x
    x = 27,126,822,755,248,400/75,717,840
  6. Step 6: Final answer
    x = 358,261,973.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.