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Finding the Third Proportional to 145,419,358 and 318,202,457

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Solution

The third proportional to 145,419,358 and 318,202,457 is: 696,281,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,419,358 : 318,202,457 = 318,202,457 : x
  2. Step 2: Convert to fraction form
    145,419,358/318,202,457 = 318,202,457/x
  3. Step 3: Cross multiply
    145,419,358x = 318,202,457 × 318,202,457
  4. Step 4: Simplify right side
    145,419,358x = 101,252,803,640,836,848
  5. Step 5: Solve for x
    x = 101,252,803,640,836,848/145,419,358
  6. Step 6: Final answer
    x = 696,281,465.09

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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.