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Finding the Third Proportional to 112,967,681.63 and 174,563,874.56

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Solution

The third proportional to 112,967,681.63 and 174,563,874.56 is: 269,745,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,967,681.63 : 174,563,874.56 = 174,563,874.56 : x
  2. Step 2: Convert to fraction form
    112,967,681.63/174,563,874.56 = 174,563,874.56/x
  3. Step 3: Cross multiply
    112,967,681.63x = 174,563,874.56 × 174,563,874.56
  4. Step 4: Simplify right side
    112,967,681.63x = 30,472,546,302,272,236
  5. Step 5: Solve for x
    x = 30,472,546,302,272,236/112,967,681.63
  6. Step 6: Final answer
    x = 269,745,699.51

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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.