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Finding the Third Proportional to 97,315,632 and 136,053,216

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Solution

The third proportional to 97,315,632 and 136,053,216 is: 190,210,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,315,632 : 136,053,216 = 136,053,216 : x
  2. Step 2: Convert to fraction form
    97,315,632/136,053,216 = 136,053,216/x
  3. Step 3: Cross multiply
    97,315,632x = 136,053,216 × 136,053,216
  4. Step 4: Simplify right side
    97,315,632x = 18,510,477,583,942,656
  5. Step 5: Solve for x
    x = 18,510,477,583,942,656/97,315,632
  6. Step 6: Final answer
    x = 190,210,731.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.