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Finding the Third Proportional to 61,430,106 and 134,430,900

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Solution

The third proportional to 61,430,106 and 134,430,900 is: 294,182,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,430,106 : 134,430,900 = 134,430,900 : x
  2. Step 2: Convert to fraction form
    61,430,106/134,430,900 = 134,430,900/x
  3. Step 3: Cross multiply
    61,430,106x = 134,430,900 × 134,430,900
  4. Step 4: Simplify right side
    61,430,106x = 18,071,666,874,810,000
  5. Step 5: Solve for x
    x = 18,071,666,874,810,000/61,430,106
  6. Step 6: Final answer
    x = 294,182,576.78

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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.