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Finding the Third Proportional to 98,075,470 and 208,105,903

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Solution

The third proportional to 98,075,470 and 208,105,903 is: 441,578,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,075,470 : 208,105,903 = 208,105,903 : x
  2. Step 2: Convert to fraction form
    98,075,470/208,105,903 = 208,105,903/x
  3. Step 3: Cross multiply
    98,075,470x = 208,105,903 × 208,105,903
  4. Step 4: Simplify right side
    98,075,470x = 43,308,066,863,445,408
  5. Step 5: Solve for x
    x = 43,308,066,863,445,408/98,075,470
  6. Step 6: Final answer
    x = 441,578,988.75

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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.