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Finding the Third Proportional to 101,290,967 and 217,938,365

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Solution

The third proportional to 101,290,967 and 217,938,365 is: 468,917,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,290,967 : 217,938,365 = 217,938,365 : x
  2. Step 2: Convert to fraction form
    101,290,967/217,938,365 = 217,938,365/x
  3. Step 3: Cross multiply
    101,290,967x = 217,938,365 × 217,938,365
  4. Step 4: Simplify right side
    101,290,967x = 47,497,130,938,873,224
  5. Step 5: Solve for x
    x = 47,497,130,938,873,224/101,290,967
  6. Step 6: Final answer
    x = 468,917,736.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.