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Finding the Third Proportional to 157,109,899,827 and 344,637,085,542

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Solution

The third proportional to 157,109,899,827 and 344,637,085,542 is: 755,997,686,088.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,109,899,827 : 344,637,085,542 = 344,637,085,542 : x
  2. Step 2: Convert to fraction form
    157,109,899,827/344,637,085,542 = 344,637,085,542/x
  3. Step 3: Cross multiply
    157,109,899,827x = 344,637,085,542 × 344,637,085,542
  4. Step 4: Simplify right side
    157,109,899,827x = 118,774,720,730,883,822,714,880
  5. Step 5: Solve for x
    x = 118,774,720,730,883,822,714,880/157,109,899,827
  6. Step 6: Final answer
    x = 755,997,686,088.98

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