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Finding the Third Proportional to 101,097,368 and 218,303,968

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Solution

The third proportional to 101,097,368 and 218,303,968 is: 471,393,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,097,368 : 218,303,968 = 218,303,968 : x
  2. Step 2: Convert to fraction form
    101,097,368/218,303,968 = 218,303,968/x
  3. Step 3: Cross multiply
    101,097,368x = 218,303,968 × 218,303,968
  4. Step 4: Simplify right side
    101,097,368x = 47,656,622,444,545,024
  5. Step 5: Solve for x
    x = 47,656,622,444,545,024/101,097,368
  6. Step 6: Final answer
    x = 471,393,305.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.