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Finding the Third Proportional to 237,596,403 and 378,066,316.50

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Solution

The third proportional to 237,596,403 and 378,066,316.50 is: 601,583,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,596,403 : 378,066,316.50 = 378,066,316.50 : x
  2. Step 2: Convert to fraction form
    237,596,403/378,066,316.50 = 378,066,316.50/x
  3. Step 3: Cross multiply
    237,596,403x = 378,066,316.50 × 378,066,316.50
  4. Step 4: Simplify right side
    237,596,403x = 142,934,139,671,878,176
  5. Step 5: Solve for x
    x = 142,934,139,671,878,176/237,596,403
  6. Step 6: Final answer
    x = 601,583,769.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.