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Finding the Third Proportional to 98,064,995 and 213,367,360

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Solution

The third proportional to 98,064,995 and 213,367,360 is: 464,239,357.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,064,995 : 213,367,360 = 213,367,360 : x
  2. Step 2: Convert to fraction form
    98,064,995/213,367,360 = 213,367,360/x
  3. Step 3: Cross multiply
    98,064,995x = 213,367,360 × 213,367,360
  4. Step 4: Simplify right side
    98,064,995x = 45,525,630,313,369,600
  5. Step 5: Solve for x
    x = 45,525,630,313,369,600/98,064,995
  6. Step 6: Final answer
    x = 464,239,357.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.