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Finding the Third Proportional to 74,016,649.13 and 160,389,301.50

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Solution

The third proportional to 74,016,649.13 and 160,389,301.50 is: 347,553,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,016,649.13 : 160,389,301.50 = 160,389,301.50 : x
  2. Step 2: Convert to fraction form
    74,016,649.13/160,389,301.50 = 160,389,301.50/x
  3. Step 3: Cross multiply
    74,016,649.13x = 160,389,301.50 × 160,389,301.50
  4. Step 4: Simplify right side
    74,016,649.13x = 25,724,728,035,657,904
  5. Step 5: Solve for x
    x = 25,724,728,035,657,904/74,016,649.13
  6. Step 6: Final answer
    x = 347,553,264.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.