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Finding the Third Proportional to 145,429,368.75 and 311,014,128.38

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Solution

The third proportional to 145,429,368.75 and 311,014,128.38 is: 665,132,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429,368.75 : 311,014,128.38 = 311,014,128.38 : x
  2. Step 2: Convert to fraction form
    145,429,368.75/311,014,128.38 = 311,014,128.38/x
  3. Step 3: Cross multiply
    145,429,368.75x = 311,014,128.38 × 311,014,128.38
  4. Step 4: Simplify right side
    145,429,368.75x = 96,729,788,048,860,976
  5. Step 5: Solve for x
    x = 96,729,788,048,860,976/145,429,368.75
  6. Step 6: Final answer
    x = 665,132,420.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.