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Finding the Third Proportional to 94,349,871 and 201,816,009

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Solution

The third proportional to 94,349,871 and 201,816,009 is: 431,687,940.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,349,871 : 201,816,009 = 201,816,009 : x
  2. Step 2: Convert to fraction form
    94,349,871/201,816,009 = 201,816,009/x
  3. Step 3: Cross multiply
    94,349,871x = 201,816,009 × 201,816,009
  4. Step 4: Simplify right side
    94,349,871x = 40,729,701,488,688,080
  5. Step 5: Solve for x
    x = 40,729,701,488,688,080/94,349,871
  6. Step 6: Final answer
    x = 431,687,940.40

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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.