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Finding the Third Proportional to 143,946,046 and 310,828,923

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Solution

The third proportional to 143,946,046 and 310,828,923 is: 671,186,337.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,946,046 : 310,828,923 = 310,828,923 : x
  2. Step 2: Convert to fraction form
    143,946,046/310,828,923 = 310,828,923/x
  3. Step 3: Cross multiply
    143,946,046x = 310,828,923 × 310,828,923
  4. Step 4: Simplify right side
    143,946,046x = 96,614,619,373,339,936
  5. Step 5: Solve for x
    x = 96,614,619,373,339,936/143,946,046
  6. Step 6: Final answer
    x = 671,186,337.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.