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Finding the Third Proportional to 145,657,172.25 and 312,090,336

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Solution

The third proportional to 145,657,172.25 and 312,090,336 is: 668,696,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,657,172.25 : 312,090,336 = 312,090,336 : x
  2. Step 2: Convert to fraction form
    145,657,172.25/312,090,336 = 312,090,336/x
  3. Step 3: Cross multiply
    145,657,172.25x = 312,090,336 × 312,090,336
  4. Step 4: Simplify right side
    145,657,172.25x = 97,400,377,824,592,896
  5. Step 5: Solve for x
    x = 97,400,377,824,592,896/145,657,172.25
  6. Step 6: Final answer
    x = 668,696,064.33

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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.