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Finding the Third Proportional to 130,003,913,308 and 183,074,157,816

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Solution

The third proportional to 130,003,913,308 and 183,074,157,816 is: 257,808,756,730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,003,913,308 : 183,074,157,816 = 183,074,157,816 : x
  2. Step 2: Convert to fraction form
    130,003,913,308/183,074,157,816 = 183,074,157,816/x
  3. Step 3: Cross multiply
    130,003,913,308x = 183,074,157,816 × 183,074,157,816
  4. Step 4: Simplify right side
    130,003,913,308x = 33,516,147,260,037,672,206,336
  5. Step 5: Solve for x
    x = 33,516,147,260,037,672,206,336/130,003,913,308
  6. Step 6: Final answer
    x = 257,808,756,730.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.