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Finding the Third Proportional to 97,786,210 and 207,229,076

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Solution

The third proportional to 97,786,210 and 207,229,076 is: 439,161,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,786,210 : 207,229,076 = 207,229,076 : x
  2. Step 2: Convert to fraction form
    97,786,210/207,229,076 = 207,229,076/x
  3. Step 3: Cross multiply
    97,786,210x = 207,229,076 × 207,229,076
  4. Step 4: Simplify right side
    97,786,210x = 42,943,889,939,813,776
  5. Step 5: Solve for x
    x = 42,943,889,939,813,776/97,786,210
  6. Step 6: Final answer
    x = 439,161,001.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.