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Finding the Third Proportional to 61,307,401.50 and 102,174,914.25

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Solution

The third proportional to 61,307,401.50 and 102,174,914.25 is: 170,284,710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,307,401.50 : 102,174,914.25 = 102,174,914.25 : x
  2. Step 2: Convert to fraction form
    61,307,401.50/102,174,914.25 = 102,174,914.25/x
  3. Step 3: Cross multiply
    61,307,401.50x = 102,174,914.25 × 102,174,914.25
  4. Step 4: Simplify right side
    61,307,401.50x = 10,439,713,101,994,854
  5. Step 5: Solve for x
    x = 10,439,713,101,994,854/61,307,401.50
  6. Step 6: Final answer
    x = 170,284,710.27

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.