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Finding the Third Proportional to 67,194,587,025 and 143,973,564,303

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Solution

The third proportional to 67,194,587,025 and 143,973,564,303 is: 308,482,991,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,194,587,025 : 143,973,564,303 = 143,973,564,303 : x
  2. Step 2: Convert to fraction form
    67,194,587,025/143,973,564,303 = 143,973,564,303/x
  3. Step 3: Cross multiply
    67,194,587,025x = 143,973,564,303 × 143,973,564,303
  4. Step 4: Simplify right side
    67,194,587,025x = 20,728,387,218,110,075,109,376
  5. Step 5: Solve for x
    x = 20,728,387,218,110,075,109,376/67,194,587,025
  6. Step 6: Final answer
    x = 308,482,991,500.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.