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Finding the Third Proportional to 92,574,896,896 and 200,931,465,728

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Solution

The third proportional to 92,574,896,896 and 200,931,465,728 is: 436,116,650,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,574,896,896 : 200,931,465,728 = 200,931,465,728 : x
  2. Step 2: Convert to fraction form
    92,574,896,896/200,931,465,728 = 200,931,465,728/x
  3. Step 3: Cross multiply
    92,574,896,896x = 200,931,465,728 × 200,931,465,728
  4. Step 4: Simplify right side
    92,574,896,896x = 40,373,453,919,602,436,210,688
  5. Step 5: Solve for x
    x = 40,373,453,919,602,436,210,688/92,574,896,896
  6. Step 6: Final answer
    x = 436,116,650,121.24

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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.