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Finding the Third Proportional to 46,250,409.38 and 102,841,680

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Solution

The third proportional to 46,250,409.38 and 102,841,680 is: 228,677,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,250,409.38 : 102,841,680 = 102,841,680 : x
  2. Step 2: Convert to fraction form
    46,250,409.38/102,841,680 = 102,841,680/x
  3. Step 3: Cross multiply
    46,250,409.38x = 102,841,680 × 102,841,680
  4. Step 4: Simplify right side
    46,250,409.38x = 10,576,411,145,222,400
  5. Step 5: Solve for x
    x = 10,576,411,145,222,400/46,250,409.38
  6. Step 6: Final answer
    x = 228,677,135.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.