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Finding the Third Proportional to 97,010,904 and 145,480,734

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Solution

The third proportional to 97,010,904 and 145,480,734 is: 218,167,681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,010,904 : 145,480,734 = 145,480,734 : x
  2. Step 2: Convert to fraction form
    97,010,904/145,480,734 = 145,480,734/x
  3. Step 3: Cross multiply
    97,010,904x = 145,480,734 × 145,480,734
  4. Step 4: Simplify right side
    97,010,904x = 21,164,643,965,178,756
  5. Step 5: Solve for x
    x = 21,164,643,965,178,756/97,010,904
  6. Step 6: Final answer
    x = 218,167,681.08

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Why These Related Problems?

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