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Finding the Third Proportional to 199,277,004 and 431,306,412

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Solution

The third proportional to 199,277,004 and 431,306,412 is: 933,500,691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,277,004 : 431,306,412 = 431,306,412 : x
  2. Step 2: Convert to fraction form
    199,277,004/431,306,412 = 431,306,412/x
  3. Step 3: Cross multiply
    199,277,004x = 431,306,412 × 431,306,412
  4. Step 4: Simplify right side
    199,277,004x = 186,025,221,032,313,728
  5. Step 5: Solve for x
    x = 186,025,221,032,313,728/199,277,004
  6. Step 6: Final answer
    x = 933,500,691.49

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