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Finding the Third Proportional to 100,695,784.50 and 216,885,780.50

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Solution

The third proportional to 100,695,784.50 and 216,885,780.50 is: 467,144,101.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,695,784.50 : 216,885,780.50 = 216,885,780.50 : x
  2. Step 2: Convert to fraction form
    100,695,784.50/216,885,780.50 = 216,885,780.50/x
  3. Step 3: Cross multiply
    100,695,784.50x = 216,885,780.50 × 216,885,780.50
  4. Step 4: Simplify right side
    100,695,784.50x = 47,039,441,783,094,184
  5. Step 5: Solve for x
    x = 47,039,441,783,094,184/100,695,784.50
  6. Step 6: Final answer
    x = 467,144,101.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.