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Finding the Third Proportional to 46,567,387.50 and 97,960,969.50

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Solution

The third proportional to 46,567,387.50 and 97,960,969.50 is: 206,074,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,567,387.50 : 97,960,969.50 = 97,960,969.50 : x
  2. Step 2: Convert to fraction form
    46,567,387.50/97,960,969.50 = 97,960,969.50/x
  3. Step 3: Cross multiply
    46,567,387.50x = 97,960,969.50 × 97,960,969.50
  4. Step 4: Simplify right side
    46,567,387.50x = 9,596,351,545,379,930
  5. Step 5: Solve for x
    x = 9,596,351,545,379,930/46,567,387.50
  6. Step 6: Final answer
    x = 206,074,509.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.