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Finding the Third Proportional to 164,357,689.50 and 361,586,522.25

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Solution

The third proportional to 164,357,689.50 and 361,586,522.25 is: 795,489,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,357,689.50 : 361,586,522.25 = 361,586,522.25 : x
  2. Step 2: Convert to fraction form
    164,357,689.50/361,586,522.25 = 361,586,522.25/x
  3. Step 3: Cross multiply
    164,357,689.50x = 361,586,522.25 × 361,586,522.25
  4. Step 4: Simplify right side
    164,357,689.50x = 130,744,813,072,849,744
  5. Step 5: Solve for x
    x = 130,744,813,072,849,744/164,357,689.50
  6. Step 6: Final answer
    x = 795,489,480.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.