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Finding the Third Proportional to 112,967,688 and 174,563,884.13

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Solution

The third proportional to 112,967,688 and 174,563,884.13 is: 269,745,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,967,688 : 174,563,884.13 = 174,563,884.13 : x
  2. Step 2: Convert to fraction form
    112,967,688/174,563,884.13 = 174,563,884.13/x
  3. Step 3: Cross multiply
    112,967,688x = 174,563,884.13 × 174,563,884.13
  4. Step 4: Simplify right side
    112,967,688x = 30,472,549,640,806,428
  5. Step 5: Solve for x
    x = 30,472,549,640,806,428/112,967,688
  6. Step 6: Final answer
    x = 269,745,713.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.