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Finding the Third Proportional to 92,145,150 and 201,646,332

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Solution

The third proportional to 92,145,150 and 201,646,332 is: 441,273,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,145,150 : 201,646,332 = 201,646,332 : x
  2. Step 2: Convert to fraction form
    92,145,150/201,646,332 = 201,646,332/x
  3. Step 3: Cross multiply
    92,145,150x = 201,646,332 × 201,646,332
  4. Step 4: Simplify right side
    92,145,150x = 40,661,243,209,054,224
  5. Step 5: Solve for x
    x = 40,661,243,209,054,224/92,145,150
  6. Step 6: Final answer
    x = 441,273,829.49

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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.