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Finding the Third Proportional to 160,963,421 and 348,667,598.25

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Solution

The third proportional to 160,963,421 and 348,667,598.25 is: 755,259,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,963,421 : 348,667,598.25 = 348,667,598.25 : x
  2. Step 2: Convert to fraction form
    160,963,421/348,667,598.25 = 348,667,598.25/x
  3. Step 3: Cross multiply
    160,963,421x = 348,667,598.25 × 348,667,598.25
  4. Step 4: Simplify right side
    160,963,421x = 121,569,094,069,423,408
  5. Step 5: Solve for x
    x = 121,569,094,069,423,408/160,963,421
  6. Step 6: Final answer
    x = 755,259,134.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.