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Finding the Third Proportional to 98,075,965 and 208,106,810

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Solution

The third proportional to 98,075,965 and 208,106,810 is: 441,580,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,075,965 : 208,106,810 = 208,106,810 : x
  2. Step 2: Convert to fraction form
    98,075,965/208,106,810 = 208,106,810/x
  3. Step 3: Cross multiply
    98,075,965x = 208,106,810 × 208,106,810
  4. Step 4: Simplify right side
    98,075,965x = 43,308,444,368,376,096
  5. Step 5: Solve for x
    x = 43,308,444,368,376,096/98,075,965
  6. Step 6: Final answer
    x = 441,580,609.16

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Why These Related Problems?

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