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Finding the Third Proportional to 109,269,854,054 and 243,664,388,392

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Solution

The third proportional to 109,269,854,054 and 243,664,388,392 is: 543,355,115,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,269,854,054 : 243,664,388,392 = 243,664,388,392 : x
  2. Step 2: Convert to fraction form
    109,269,854,054/243,664,388,392 = 243,664,388,392/x
  3. Step 3: Cross multiply
    109,269,854,054x = 243,664,388,392 × 243,664,388,392
  4. Step 4: Simplify right side
    109,269,854,054x = 59,372,334,170,447,426,879,488
  5. Step 5: Solve for x
    x = 59,372,334,170,447,426,879,488/109,269,854,054
  6. Step 6: Final answer
    x = 543,355,115,502.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.