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Finding the Third Proportional to 105,724,064 and 148,885,024

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Solution

The third proportional to 105,724,064 and 148,885,024 is: 209,666,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,724,064 : 148,885,024 = 148,885,024 : x
  2. Step 2: Convert to fraction form
    105,724,064/148,885,024 = 148,885,024/x
  3. Step 3: Cross multiply
    105,724,064x = 148,885,024 × 148,885,024
  4. Step 4: Simplify right side
    105,724,064x = 22,166,750,371,480,576
  5. Step 5: Solve for x
    x = 22,166,750,371,480,576/105,724,064
  6. Step 6: Final answer
    x = 209,666,082.94

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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.