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Finding the Third Proportional to 42,716,465 and 93,195,224.50

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Solution

The third proportional to 42,716,465 and 93,195,224.50 is: 203,325,576.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,716,465 : 93,195,224.50 = 93,195,224.50 : x
  2. Step 2: Convert to fraction form
    42,716,465/93,195,224.50 = 93,195,224.50/x
  3. Step 3: Cross multiply
    42,716,465x = 93,195,224.50 × 93,195,224.50
  4. Step 4: Simplify right side
    42,716,465x = 8,685,349,869,605,400
  5. Step 5: Solve for x
    x = 8,685,349,869,605,400/42,716,465
  6. Step 6: Final answer
    x = 203,325,576.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.