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Finding the Third Proportional to 98,075,468.25 and 208,105,898.63

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Solution

The third proportional to 98,075,468.25 and 208,105,898.63 is: 441,578,978.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,075,468.25 : 208,105,898.63 = 208,105,898.63 : x
  2. Step 2: Convert to fraction form
    98,075,468.25/208,105,898.63 = 208,105,898.63/x
  3. Step 3: Cross multiply
    98,075,468.25x = 208,105,898.63 × 208,105,898.63
  4. Step 4: Simplify right side
    98,075,468.25x = 43,308,065,042,518,776
  5. Step 5: Solve for x
    x = 43,308,065,042,518,776/98,075,468.25
  6. Step 6: Final answer
    x = 441,578,978.06

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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.