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Finding the Third Proportional to 69,202,210 and 97,341,595

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Solution

The third proportional to 69,202,210 and 97,341,595 is: 136,923,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,202,210 : 97,341,595 = 97,341,595 : x
  2. Step 2: Convert to fraction form
    69,202,210/97,341,595 = 97,341,595/x
  3. Step 3: Cross multiply
    69,202,210x = 97,341,595 × 97,341,595
  4. Step 4: Simplify right side
    69,202,210x = 9,475,386,117,144,024
  5. Step 5: Solve for x
    x = 9,475,386,117,144,024/69,202,210
  6. Step 6: Final answer
    x = 136,923,172.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.