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Finding the Third Proportional to 97,106,348 and 208,028,968

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Solution

The third proportional to 97,106,348 and 208,028,968 is: 445,656,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,106,348 : 208,028,968 = 208,028,968 : x
  2. Step 2: Convert to fraction form
    97,106,348/208,028,968 = 208,028,968/x
  3. Step 3: Cross multiply
    97,106,348x = 208,028,968 × 208,028,968
  4. Step 4: Simplify right side
    97,106,348x = 43,276,051,527,145,024
  5. Step 5: Solve for x
    x = 43,276,051,527,145,024/97,106,348
  6. Step 6: Final answer
    x = 445,656,256.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.