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Finding the Third Proportional to 53,097,398.44 and 116,731,854

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Solution

The third proportional to 53,097,398.44 and 116,731,854 is: 256,628,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,097,398.44 : 116,731,854 = 116,731,854 : x
  2. Step 2: Convert to fraction form
    53,097,398.44/116,731,854 = 116,731,854/x
  3. Step 3: Cross multiply
    53,097,398.44x = 116,731,854 × 116,731,854
  4. Step 4: Simplify right side
    53,097,398.44x = 13,626,325,738,277,316
  5. Step 5: Solve for x
    x = 13,626,325,738,277,316/53,097,398.44
  6. Step 6: Final answer
    x = 256,628,877.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.