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Finding the Third Proportional to 176,021,005.50 and 382,333,662

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Solution

The third proportional to 176,021,005.50 and 382,333,662 is: 830,463,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,021,005.50 : 382,333,662 = 382,333,662 : x
  2. Step 2: Convert to fraction form
    176,021,005.50/382,333,662 = 382,333,662/x
  3. Step 3: Cross multiply
    176,021,005.50x = 382,333,662 × 382,333,662
  4. Step 4: Simplify right side
    176,021,005.50x = 146,179,029,098,330,240
  5. Step 5: Solve for x
    x = 146,179,029,098,330,240/176,021,005.50
  6. Step 6: Final answer
    x = 830,463,549.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.