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Finding the Third Proportional to 105,724,032 and 148,884,984

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Solution

The third proportional to 105,724,032 and 148,884,984 is: 209,666,033.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,724,032 : 148,884,984 = 148,884,984 : x
  2. Step 2: Convert to fraction form
    105,724,032/148,884,984 = 148,884,984/x
  3. Step 3: Cross multiply
    105,724,032x = 148,884,984 × 148,884,984
  4. Step 4: Simplify right side
    105,724,032x = 22,166,738,460,680,256
  5. Step 5: Solve for x
    x = 22,166,738,460,680,256/105,724,032
  6. Step 6: Final answer
    x = 209,666,033.74

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.