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Finding the Third Proportional to 61,914,995.16 and 133,524,946.13

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Solution

The third proportional to 61,914,995.16 and 133,524,946.13 is: 287,957,887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,914,995.16 : 133,524,946.13 = 133,524,946.13 : x
  2. Step 2: Convert to fraction form
    61,914,995.16/133,524,946.13 = 133,524,946.13/x
  3. Step 3: Cross multiply
    61,914,995.16x = 133,524,946.13 × 133,524,946.13
  4. Step 4: Simplify right side
    61,914,995.16x = 17,828,911,237,684,152
  5. Step 5: Solve for x
    x = 17,828,911,237,684,152/61,914,995.16
  6. Step 6: Final answer
    x = 287,957,887.95

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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.