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Finding the Third Proportional to 216,525,698 and 510,961,877

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Solution

The third proportional to 216,525,698 and 510,961,877 is: 1,205,778,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,525,698 : 510,961,877 = 510,961,877 : x
  2. Step 2: Convert to fraction form
    216,525,698/510,961,877 = 510,961,877/x
  3. Step 3: Cross multiply
    216,525,698x = 510,961,877 × 510,961,877
  4. Step 4: Simplify right side
    216,525,698x = 261,082,039,747,363,136
  5. Step 5: Solve for x
    x = 261,082,039,747,363,136/216,525,698
  6. Step 6: Final answer
    x = 1,205,778,538.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.