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Finding the Third Proportional to 103,326,117,320 and 161,733,594,332

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Solution

The third proportional to 103,326,117,320 and 161,733,594,332 is: 253,157,248,273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,326,117,320 : 161,733,594,332 = 161,733,594,332 : x
  2. Step 2: Convert to fraction form
    103,326,117,320/161,733,594,332 = 161,733,594,332/x
  3. Step 3: Cross multiply
    103,326,117,320x = 161,733,594,332 × 161,733,594,332
  4. Step 4: Simplify right side
    103,326,117,320x = 26,157,755,535,547,940,470,784
  5. Step 5: Solve for x
    x = 26,157,755,535,547,940,470,784/103,326,117,320
  6. Step 6: Final answer
    x = 253,157,248,273.81

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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.