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Finding the Third Proportional to 61,520,234.06 and 133,602,606.56

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Solution

The third proportional to 61,520,234.06 and 133,602,606.56 is: 290,142,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,520,234.06 : 133,602,606.56 = 133,602,606.56 : x
  2. Step 2: Convert to fraction form
    61,520,234.06/133,602,606.56 = 133,602,606.56/x
  3. Step 3: Cross multiply
    61,520,234.06x = 133,602,606.56 × 133,602,606.56
  4. Step 4: Simplify right side
    61,520,234.06x = 17,849,656,480,294,168
  5. Step 5: Solve for x
    x = 17,849,656,480,294,168/61,520,234.06
  6. Step 6: Final answer
    x = 290,142,857.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.