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Finding the Third Proportional to 143,345,473.50 and 221,355,184.50

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Solution

The third proportional to 143,345,473.50 and 221,355,184.50 is: 341,818,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,345,473.50 : 221,355,184.50 = 221,355,184.50 : x
  2. Step 2: Convert to fraction form
    143,345,473.50/221,355,184.50 = 221,355,184.50/x
  3. Step 3: Cross multiply
    143,345,473.50x = 221,355,184.50 × 221,355,184.50
  4. Step 4: Simplify right side
    143,345,473.50x = 48,998,117,705,029,040
  5. Step 5: Solve for x
    x = 48,998,117,705,029,040/143,345,473.50
  6. Step 6: Final answer
    x = 341,818,381.21

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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.