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Finding the Third Proportional to 222,835,807 and 488,718,335

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Solution

The third proportional to 222,835,807 and 488,718,335 is: 1,071,845,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,835,807 : 488,718,335 = 488,718,335 : x
  2. Step 2: Convert to fraction form
    222,835,807/488,718,335 = 488,718,335/x
  3. Step 3: Cross multiply
    222,835,807x = 488,718,335 × 488,718,335
  4. Step 4: Simplify right side
    222,835,807x = 238,845,610,965,172,224
  5. Step 5: Solve for x
    x = 238,845,610,965,172,224/222,835,807
  6. Step 6: Final answer
    x = 1,071,845,742.30

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Why These Related Problems?

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