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Finding the Third Proportional to 152,908,255,666 and 212,606,707,117

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Solution

The third proportional to 152,908,255,666 and 212,606,707,117 is: 295,612,631,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,908,255,666 : 212,606,707,117 = 212,606,707,117 : x
  2. Step 2: Convert to fraction form
    152,908,255,666/212,606,707,117 = 212,606,707,117/x
  3. Step 3: Cross multiply
    152,908,255,666x = 212,606,707,117 × 212,606,707,117
  4. Step 4: Simplify right side
    152,908,255,666x = 45,201,611,911,133,818,519,552
  5. Step 5: Solve for x
    x = 45,201,611,911,133,818,519,552/152,908,255,666
  6. Step 6: Final answer
    x = 295,612,631,994.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.