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Finding the Third Proportional to 99,888,738,234 and 205,072,869,476

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Solution

The third proportional to 99,888,738,234 and 205,072,869,476 is: 421,017,249,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,888,738,234 : 205,072,869,476 = 205,072,869,476 : x
  2. Step 2: Convert to fraction form
    99,888,738,234/205,072,869,476 = 205,072,869,476/x
  3. Step 3: Cross multiply
    99,888,738,234x = 205,072,869,476 × 205,072,869,476
  4. Step 4: Simplify right side
    99,888,738,234x = 42,054,881,795,120,534,913,024
  5. Step 5: Solve for x
    x = 42,054,881,795,120,534,913,024/99,888,738,234
  6. Step 6: Final answer
    x = 421,017,249,177.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.