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Finding the Third Proportional to 210,816,186 and 314,984,247

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Solution

The third proportional to 210,816,186 and 314,984,247 is: 470,623,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,816,186 : 314,984,247 = 314,984,247 : x
  2. Step 2: Convert to fraction form
    210,816,186/314,984,247 = 314,984,247/x
  3. Step 3: Cross multiply
    210,816,186x = 314,984,247 × 314,984,247
  4. Step 4: Simplify right side
    210,816,186x = 99,215,075,858,157,008
  5. Step 5: Solve for x
    x = 99,215,075,858,157,008/210,816,186
  6. Step 6: Final answer
    x = 470,623,616.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.