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Finding the Third Proportional to 92,574,896,900 and 200,931,465,736

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Solution

The third proportional to 92,574,896,900 and 200,931,465,736 is: 436,116,650,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,574,896,900 : 200,931,465,736 = 200,931,465,736 : x
  2. Step 2: Convert to fraction form
    92,574,896,900/200,931,465,736 = 200,931,465,736/x
  3. Step 3: Cross multiply
    92,574,896,900x = 200,931,465,736 × 200,931,465,736
  4. Step 4: Simplify right side
    92,574,896,900x = 40,373,453,922,817,345,060,864
  5. Step 5: Solve for x
    x = 40,373,453,922,817,345,060,864/92,574,896,900
  6. Step 6: Final answer
    x = 436,116,650,137.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.