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Finding the Third Proportional to 97,010,900 and 145,480,728

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Solution

The third proportional to 97,010,900 and 145,480,728 is: 218,167,672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,010,900 : 145,480,728 = 145,480,728 : x
  2. Step 2: Convert to fraction form
    97,010,900/145,480,728 = 145,480,728/x
  3. Step 3: Cross multiply
    97,010,900x = 145,480,728 × 145,480,728
  4. Step 4: Simplify right side
    97,010,900x = 21,164,642,219,409,984
  5. Step 5: Solve for x
    x = 21,164,642,219,409,984/97,010,900
  6. Step 6: Final answer
    x = 218,167,672.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.