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Finding the Third Proportional to 193,954,018.50 and 290,646,598.50

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Solution

The third proportional to 193,954,018.50 and 290,646,598.50 is: 435,543,670.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,954,018.50 : 290,646,598.50 = 290,646,598.50 : x
  2. Step 2: Convert to fraction form
    193,954,018.50/290,646,598.50 = 290,646,598.50/x
  3. Step 3: Cross multiply
    193,954,018.50x = 290,646,598.50 × 290,646,598.50
  4. Step 4: Simplify right side
    193,954,018.50x = 84,475,445,219,620,208
  5. Step 5: Solve for x
    x = 84,475,445,219,620,208/193,954,018.50
  6. Step 6: Final answer
    x = 435,543,670.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.