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Finding the Third Proportional to 94,210,356 and 142,211,214

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Solution

The third proportional to 94,210,356 and 142,211,214 is: 214,668,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,210,356 : 142,211,214 = 142,211,214 : x
  2. Step 2: Convert to fraction form
    94,210,356/142,211,214 = 142,211,214/x
  3. Step 3: Cross multiply
    94,210,356x = 142,211,214 × 142,211,214
  4. Step 4: Simplify right side
    94,210,356x = 20,224,029,387,353,796
  5. Step 5: Solve for x
    x = 20,224,029,387,353,796/94,210,356
  6. Step 6: Final answer
    x = 214,668,856.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.