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Finding the Third Proportional to 164,822,519.25 and 343,209,244.50

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Solution

The third proportional to 164,822,519.25 and 343,209,244.50 is: 714,663,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,822,519.25 : 343,209,244.50 = 343,209,244.50 : x
  2. Step 2: Convert to fraction form
    164,822,519.25/343,209,244.50 = 343,209,244.50/x
  3. Step 3: Cross multiply
    164,822,519.25x = 343,209,244.50 × 343,209,244.50
  4. Step 4: Simplify right side
    164,822,519.25x = 117,792,585,510,260,784
  5. Step 5: Solve for x
    x = 117,792,585,510,260,784/164,822,519.25
  6. Step 6: Final answer
    x = 714,663,178.59

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.