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Finding the Third Proportional to 176,748,637,780 and 387,716,722,076

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Solution

The third proportional to 176,748,637,780 and 387,716,722,076 is: 850,497,398,257.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,748,637,780 : 387,716,722,076 = 387,716,722,076 : x
  2. Step 2: Convert to fraction form
    176,748,637,780/387,716,722,076 = 387,716,722,076/x
  3. Step 3: Cross multiply
    176,748,637,780x = 387,716,722,076 × 387,716,722,076
  4. Step 4: Simplify right side
    176,748,637,780x = 150,324,256,577,358,229,667,840
  5. Step 5: Solve for x
    x = 150,324,256,577,358,229,667,840/176,748,637,780
  6. Step 6: Final answer
    x = 850,497,398,257.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.