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Finding the Third Proportional to 46,898,136 and 103,337,559

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Solution

The third proportional to 46,898,136 and 103,337,559 is: 227,698,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,898,136 : 103,337,559 = 103,337,559 : x
  2. Step 2: Convert to fraction form
    46,898,136/103,337,559 = 103,337,559/x
  3. Step 3: Cross multiply
    46,898,136x = 103,337,559 × 103,337,559
  4. Step 4: Simplify right side
    46,898,136x = 10,678,651,100,078,480
  5. Step 5: Solve for x
    x = 10,678,651,100,078,480/46,898,136
  6. Step 6: Final answer
    x = 227,698,838.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.