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Finding the Third Proportional to 97,514,604 and 203,100,493.50

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Solution

The third proportional to 97,514,604 and 203,100,493.50 is: 423,011,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,514,604 : 203,100,493.50 = 203,100,493.50 : x
  2. Step 2: Convert to fraction form
    97,514,604/203,100,493.50 = 203,100,493.50/x
  3. Step 3: Cross multiply
    97,514,604x = 203,100,493.50 × 203,100,493.50
  4. Step 4: Simplify right side
    97,514,604x = 41,249,810,459,943,544
  5. Step 5: Solve for x
    x = 41,249,810,459,943,544/97,514,604
  6. Step 6: Final answer
    x = 423,011,618.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.