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Finding the Third Proportional to 207,345,768 and 447,897,988

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Solution

The third proportional to 207,345,768 and 447,897,988 is: 967,526,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,345,768 : 447,897,988 = 447,897,988 : x
  2. Step 2: Convert to fraction form
    207,345,768/447,897,988 = 447,897,988/x
  3. Step 3: Cross multiply
    207,345,768x = 447,897,988 × 447,897,988
  4. Step 4: Simplify right side
    207,345,768x = 200,612,607,654,448,128
  5. Step 5: Solve for x
    x = 200,612,607,654,448,128/207,345,768
  6. Step 6: Final answer
    x = 967,526,897.65

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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.