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Finding the Third Proportional to 193,808,980.50 and 297,897,824.25

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Solution

The third proportional to 193,808,980.50 and 297,897,824.25 is: 457,889,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,808,980.50 : 297,897,824.25 = 297,897,824.25 : x
  2. Step 2: Convert to fraction form
    193,808,980.50/297,897,824.25 = 297,897,824.25/x
  3. Step 3: Cross multiply
    193,808,980.50x = 297,897,824.25 × 297,897,824.25
  4. Step 4: Simplify right side
    193,808,980.50x = 88,743,113,692,883,888
  5. Step 5: Solve for x
    x = 88,743,113,692,883,888/193,808,980.50
  6. Step 6: Final answer
    x = 457,889,585.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.