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Finding the Third Proportional to 96,078,316,184 and 200,108,975,844

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Solution

The third proportional to 96,078,316,184 and 200,108,975,844 is: 416,780,849,246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,078,316,184 : 200,108,975,844 = 200,108,975,844 : x
  2. Step 2: Convert to fraction form
    96,078,316,184/200,108,975,844 = 200,108,975,844/x
  3. Step 3: Cross multiply
    96,078,316,184x = 200,108,975,844 × 200,108,975,844
  4. Step 4: Simplify right side
    96,078,316,184x = 40,043,602,213,334,572,597,248
  5. Step 5: Solve for x
    x = 40,043,602,213,334,572,597,248/96,078,316,184
  6. Step 6: Final answer
    x = 416,780,849,246.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.