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Finding the Third Proportional to 97,078,459.50 and 207,974,385

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Solution

The third proportional to 97,078,459.50 and 207,974,385 is: 445,550,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,078,459.50 : 207,974,385 = 207,974,385 : x
  2. Step 2: Convert to fraction form
    97,078,459.50/207,974,385 = 207,974,385/x
  3. Step 3: Cross multiply
    97,078,459.50x = 207,974,385 × 207,974,385
  4. Step 4: Simplify right side
    97,078,459.50x = 43,253,344,816,128,224
  5. Step 5: Solve for x
    x = 43,253,344,816,128,224/97,078,459.50
  6. Step 6: Final answer
    x = 445,550,383.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.