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Finding the Third Proportional to 160,465,267,925.43 and 349,763,082,577.88

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Solution

The third proportional to 160,465,267,925.43 and 349,763,082,577.88 is: 762,371,917,088.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,465,267,925.43 : 349,763,082,577.88 = 349,763,082,577.88 : x
  2. Step 2: Convert to fraction form
    160,465,267,925.43/349,763,082,577.88 = 349,763,082,577.88/x
  3. Step 3: Cross multiply
    160,465,267,925.43x = 349,763,082,577.88 × 349,763,082,577.88
  4. Step 4: Simplify right side
    160,465,267,925.43x = 122,334,213,934,380,908,281,856
  5. Step 5: Solve for x
    x = 122,334,213,934,380,908,281,856/160,465,267,925.43
  6. Step 6: Final answer
    x = 762,371,917,088.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.