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Finding the Third Proportional to 94,832,232,249 and 204,779,077,728

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Solution

The third proportional to 94,832,232,249 and 204,779,077,728 is: 442,196,389,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,832,232,249 : 204,779,077,728 = 204,779,077,728 : x
  2. Step 2: Convert to fraction form
    94,832,232,249/204,779,077,728 = 204,779,077,728/x
  3. Step 3: Cross multiply
    94,832,232,249x = 204,779,077,728 × 204,779,077,728
  4. Step 4: Simplify right side
    94,832,232,249x = 41,934,470,675,130,264,584,192
  5. Step 5: Solve for x
    x = 41,934,470,675,130,264,584,192/94,832,232,249
  6. Step 6: Final answer
    x = 442,196,389,145.66

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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.