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Finding the Third Proportional to 117,999,566 and 185,106,333

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Solution

The third proportional to 117,999,566 and 185,106,333 is: 290,376,953.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,999,566 : 185,106,333 = 185,106,333 : x
  2. Step 2: Convert to fraction form
    117,999,566/185,106,333 = 185,106,333/x
  3. Step 3: Cross multiply
    117,999,566x = 185,106,333 × 185,106,333
  4. Step 4: Simplify right side
    117,999,566x = 34,264,354,516,706,888
  5. Step 5: Solve for x
    x = 34,264,354,516,706,888/117,999,566
  6. Step 6: Final answer
    x = 290,376,953.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.