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Finding the Third Proportional to 74,111,120 and 163,299,904

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Solution

The third proportional to 74,111,120 and 163,299,904 is: 359,822,637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,111,120 : 163,299,904 = 163,299,904 : x
  2. Step 2: Convert to fraction form
    74,111,120/163,299,904 = 163,299,904/x
  3. Step 3: Cross multiply
    74,111,120x = 163,299,904 × 163,299,904
  4. Step 4: Simplify right side
    74,111,120x = 26,666,858,646,409,216
  5. Step 5: Solve for x
    x = 26,666,858,646,409,216/74,111,120
  6. Step 6: Final answer
    x = 359,822,637.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.