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Finding the Third Proportional to 103,326,117,312 and 161,733,594,320

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Solution

The third proportional to 103,326,117,312 and 161,733,594,320 is: 253,157,248,255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,326,117,312 : 161,733,594,320 = 161,733,594,320 : x
  2. Step 2: Convert to fraction form
    103,326,117,312/161,733,594,320 = 161,733,594,320/x
  3. Step 3: Cross multiply
    103,326,117,312x = 161,733,594,320 × 161,733,594,320
  4. Step 4: Simplify right side
    103,326,117,312x = 26,157,755,531,666,334,416,896
  5. Step 5: Solve for x
    x = 26,157,755,531,666,334,416,896/103,326,117,312
  6. Step 6: Final answer
    x = 253,157,248,255.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.