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Finding the Third Proportional to 110,010,038.63 and 233,133,653.25

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Solution

The third proportional to 110,010,038.63 and 233,133,653.25 is: 494,057,641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,010,038.63 : 233,133,653.25 = 233,133,653.25 : x
  2. Step 2: Convert to fraction form
    110,010,038.63/233,133,653.25 = 233,133,653.25/x
  3. Step 3: Cross multiply
    110,010,038.63x = 233,133,653.25 × 233,133,653.25
  4. Step 4: Simplify right side
    110,010,038.63x = 54,351,300,277,691,232
  5. Step 5: Solve for x
    x = 54,351,300,277,691,232/110,010,038.63
  6. Step 6: Final answer
    x = 494,057,641.98

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.