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Finding the Third Proportional to 74,198,688 and 102,528,540

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Solution

The third proportional to 74,198,688 and 102,528,540 is: 141,675,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,198,688 : 102,528,540 = 102,528,540 : x
  2. Step 2: Convert to fraction form
    74,198,688/102,528,540 = 102,528,540/x
  3. Step 3: Cross multiply
    74,198,688x = 102,528,540 × 102,528,540
  4. Step 4: Simplify right side
    74,198,688x = 10,512,101,514,531,600
  5. Step 5: Solve for x
    x = 10,512,101,514,531,600/74,198,688
  6. Step 6: Final answer
    x = 141,675,032.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.