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Finding the Third Proportional to 216,525,856.50 and 510,962,267.25

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Solution

The third proportional to 216,525,856.50 and 510,962,267.25 is: 1,205,779,497.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,525,856.50 : 510,962,267.25 = 510,962,267.25 : x
  2. Step 2: Convert to fraction form
    216,525,856.50/510,962,267.25 = 510,962,267.25/x
  3. Step 3: Cross multiply
    216,525,856.50x = 510,962,267.25 × 510,962,267.25
  4. Step 4: Simplify right side
    216,525,856.50x = 261,082,438,553,260,416
  5. Step 5: Solve for x
    x = 261,082,438,553,260,416/216,525,856.50
  6. Step 6: Final answer
    x = 1,205,779,497.99

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1.5x scale

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.