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Finding the Third Proportional to 45,312,489 and 97,845,105

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Solution

The third proportional to 45,312,489 and 97,845,105 is: 211,280,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312,489 : 97,845,105 = 97,845,105 : x
  2. Step 2: Convert to fraction form
    45,312,489/97,845,105 = 97,845,105/x
  3. Step 3: Cross multiply
    45,312,489x = 97,845,105 × 97,845,105
  4. Step 4: Simplify right side
    45,312,489x = 9,573,664,572,461,024
  5. Step 5: Solve for x
    x = 9,573,664,572,461,024/45,312,489
  6. Step 6: Final answer
    x = 211,280,924.61

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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.