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Finding the Third Proportional to 155,510,404.50 and 334,098,970.50

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Solution

The third proportional to 155,510,404.50 and 334,098,970.50 is: 717,779,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,510,404.50 : 334,098,970.50 = 334,098,970.50 : x
  2. Step 2: Convert to fraction form
    155,510,404.50/334,098,970.50 = 334,098,970.50/x
  3. Step 3: Cross multiply
    155,510,404.50x = 334,098,970.50 × 334,098,970.50
  4. Step 4: Simplify right side
    155,510,404.50x = 111,622,122,089,159,872
  5. Step 5: Solve for x
    x = 111,622,122,089,159,872/155,510,404.50
  6. Step 6: Final answer
    x = 717,779,125.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.