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Finding the Third Proportional to 145,657,168 and 312,090,330

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Solution

The third proportional to 145,657,168 and 312,090,330 is: 668,696,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,657,168 : 312,090,330 = 312,090,330 : x
  2. Step 2: Convert to fraction form
    145,657,168/312,090,330 = 312,090,330/x
  3. Step 3: Cross multiply
    145,657,168x = 312,090,330 × 312,090,330
  4. Step 4: Simplify right side
    145,657,168x = 97,400,374,079,508,896
  5. Step 5: Solve for x
    x = 97,400,374,079,508,896/145,657,168
  6. Step 6: Final answer
    x = 668,696,058.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.