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Finding the Third Proportional to 142,805,425 and 310,963,021

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Solution

The third proportional to 142,805,425 and 310,963,021 is: 677,131,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,805,425 : 310,963,021 = 310,963,021 : x
  2. Step 2: Convert to fraction form
    142,805,425/310,963,021 = 310,963,021/x
  3. Step 3: Cross multiply
    142,805,425x = 310,963,021 × 310,963,021
  4. Step 4: Simplify right side
    142,805,425x = 96,698,000,429,446,448
  5. Step 5: Solve for x
    x = 96,698,000,429,446,448/142,805,425
  6. Step 6: Final answer
    x = 677,131,141.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.