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Finding the Third Proportional to 61,307,397 and 102,174,907.50

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Solution

The third proportional to 61,307,397 and 102,174,907.50 is: 170,284,700.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,307,397 : 102,174,907.50 = 102,174,907.50 : x
  2. Step 2: Convert to fraction form
    61,307,397/102,174,907.50 = 102,174,907.50/x
  3. Step 3: Cross multiply
    61,307,397x = 102,174,907.50 × 102,174,907.50
  4. Step 4: Simplify right side
    61,307,397x = 10,439,711,722,633,556
  5. Step 5: Solve for x
    x = 10,439,711,722,633,556/61,307,397
  6. Step 6: Final answer
    x = 170,284,700.27

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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.