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Finding the Third Proportional to 117,999,567 and 185,106,335

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Solution

The third proportional to 117,999,567 and 185,106,335 is: 290,376,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,999,567 : 185,106,335 = 185,106,335 : x
  2. Step 2: Convert to fraction form
    117,999,567/185,106,335 = 185,106,335/x
  3. Step 3: Cross multiply
    117,999,567x = 185,106,335 × 185,106,335
  4. Step 4: Simplify right side
    117,999,567x = 34,264,355,257,132,224
  5. Step 5: Solve for x
    x = 34,264,355,257,132,224/117,999,567
  6. Step 6: Final answer
    x = 290,376,957.55

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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.