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Finding the Third Proportional to 145,429,938 and 311,015,265

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Solution

The third proportional to 145,429,938 and 311,015,265 is: 665,134,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429,938 : 311,015,265 = 311,015,265 : x
  2. Step 2: Convert to fraction form
    145,429,938/311,015,265 = 311,015,265/x
  3. Step 3: Cross multiply
    145,429,938x = 311,015,265 × 311,015,265
  4. Step 4: Simplify right side
    145,429,938x = 96,730,495,063,020,224
  5. Step 5: Solve for x
    x = 96,730,495,063,020,224/145,429,938
  6. Step 6: Final answer
    x = 665,134,678.55

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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.