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Finding the Third Proportional to 157,109,899,838 and 344,637,085,562

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Solution

The third proportional to 157,109,899,838 and 344,637,085,562 is: 755,997,686,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,109,899,838 : 344,637,085,562 = 344,637,085,562 : x
  2. Step 2: Convert to fraction form
    157,109,899,838/344,637,085,562 = 344,637,085,562/x
  3. Step 3: Cross multiply
    157,109,899,838x = 344,637,085,562 × 344,637,085,562
  4. Step 4: Simplify right side
    157,109,899,838x = 118,774,720,744,669,308,780,544
  5. Step 5: Solve for x
    x = 118,774,720,744,669,308,780,544/157,109,899,838
  6. Step 6: Final answer
    x = 755,997,686,123.80

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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.