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Finding the Third Proportional to 95,546,407.78 and 208,976,256.28

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Solution

The third proportional to 95,546,407.78 and 208,976,256.28 is: 457,066,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,546,407.78 : 208,976,256.28 = 208,976,256.28 : x
  2. Step 2: Convert to fraction form
    95,546,407.78/208,976,256.28 = 208,976,256.28/x
  3. Step 3: Cross multiply
    95,546,407.78x = 208,976,256.28 × 208,976,256.28
  4. Step 4: Simplify right side
    95,546,407.78x = 43,671,075,689,322,496
  5. Step 5: Solve for x
    x = 43,671,075,689,322,496/95,546,407.78
  6. Step 6: Final answer
    x = 457,066,641.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.