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Finding the Third Proportional to 121,035,295,905 and 264,870,988,419

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Solution

The third proportional to 121,035,295,905 and 264,870,988,419 is: 579,637,864,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,035,295,905 : 264,870,988,419 = 264,870,988,419 : x
  2. Step 2: Convert to fraction form
    121,035,295,905/264,870,988,419 = 264,870,988,419/x
  3. Step 3: Cross multiply
    121,035,295,905x = 264,870,988,419 × 264,870,988,419
  4. Step 4: Simplify right side
    121,035,295,905x = 70,156,640,506,058,029,137,920
  5. Step 5: Solve for x
    x = 70,156,640,506,058,029,137,920/121,035,295,905
  6. Step 6: Final answer
    x = 579,637,864,983.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.