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Finding the Third Proportional to 143,763,084 and 205,582,882.50

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Solution

The third proportional to 143,763,084 and 205,582,882.50 is: 293,985,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,763,084 : 205,582,882.50 = 205,582,882.50 : x
  2. Step 2: Convert to fraction form
    143,763,084/205,582,882.50 = 205,582,882.50/x
  3. Step 3: Cross multiply
    143,763,084x = 205,582,882.50 × 205,582,882.50
  4. Step 4: Simplify right side
    143,763,084x = 42,264,321,577,008,808
  5. Step 5: Solve for x
    x = 42,264,321,577,008,808/143,763,084
  6. Step 6: Final answer
    x = 293,985,913.50

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.