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Finding the Third Proportional to 106,544,106 and 233,826,444

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Solution

The third proportional to 106,544,106 and 233,826,444 is: 513,165,936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,544,106 : 233,826,444 = 233,826,444 : x
  2. Step 2: Convert to fraction form
    106,544,106/233,826,444 = 233,826,444/x
  3. Step 3: Cross multiply
    106,544,106x = 233,826,444 × 233,826,444
  4. Step 4: Simplify right side
    106,544,106x = 54,674,805,913,685,136
  5. Step 5: Solve for x
    x = 54,674,805,913,685,136/106,544,106
  6. Step 6: Final answer
    x = 513,165,936.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.