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Finding the Third Proportional to 164,617,804 and 252,618,450

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Solution

The third proportional to 164,617,804 and 252,618,450 is: 387,662,085.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,617,804 : 252,618,450 = 252,618,450 : x
  2. Step 2: Convert to fraction form
    164,617,804/252,618,450 = 252,618,450/x
  3. Step 3: Cross multiply
    164,617,804x = 252,618,450 × 252,618,450
  4. Step 4: Simplify right side
    164,617,804x = 63,816,081,280,402,496
  5. Step 5: Solve for x
    x = 63,816,081,280,402,496/164,617,804
  6. Step 6: Final answer
    x = 387,662,085.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.