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Finding the Third Proportional to 75,678,310.25 and 118,457,225

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Solution

The third proportional to 75,678,310.25 and 118,457,225 is: 185,417,910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,678,310.25 : 118,457,225 = 118,457,225 : x
  2. Step 2: Convert to fraction form
    75,678,310.25/118,457,225 = 118,457,225/x
  3. Step 3: Cross multiply
    75,678,310.25x = 118,457,225 × 118,457,225
  4. Step 4: Simplify right side
    75,678,310.25x = 14,032,114,154,700,624
  5. Step 5: Solve for x
    x = 14,032,114,154,700,624/75,678,310.25
  6. Step 6: Final answer
    x = 185,417,910.47

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.