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Finding the Third Proportional to 98,075,472 and 208,105,905

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Solution

The third proportional to 98,075,472 and 208,105,905 is: 441,578,988.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,075,472 : 208,105,905 = 208,105,905 : x
  2. Step 2: Convert to fraction form
    98,075,472/208,105,905 = 208,105,905/x
  3. Step 3: Cross multiply
    98,075,472x = 208,105,905 × 208,105,905
  4. Step 4: Simplify right side
    98,075,472x = 43,308,067,695,869,024
  5. Step 5: Solve for x
    x = 43,308,067,695,869,024/98,075,472
  6. Step 6: Final answer
    x = 441,578,988.23

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.